60 (sixty) () is the

natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...

following 59 and preceding 61. Being three times 20, it is called '' threescore'' in older literature ('' kopa'' in Slavic, ''Schock'' in Germanic).

In mathematics

60 is the 4th

superior highly composite number In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is defined by a ratio between the number of divisors an integer has and that integer raised to s ...

, the 4th

colossally abundant number In number theory, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Particularly, it is defined by a ratio between the sum of an integer's divisors and that ...

, the 9th

highly composite number A highly composite number is a positive integer that has more divisors than all smaller positive integers. If ''d''(''n'') denotes the number of divisors of a positive integer ''n'', then a positive integer ''N'' is highly composite if ''d''(' ...

, a

unitary perfect number A unitary perfect number is an integer which is the sum of its positive proper unitary divisors, not including the number itself. (A divisor ''d'' of a number ''n'' is a unitary divisor if ''d'' and ''n''/''d'' share no common factors). The numb ...

, and an

abundant number In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total ...

. It is the smallest number divisible by the numbers 1 to 6. The smallest group that is not solvable is the

alternating group In mathematics, an alternating group is the Group (mathematics), group of even permutations of a finite set. The alternating group on a set of elements is called the alternating group of degree , or the alternating group on letters and denoted ...

A₅, which has 60 elements. There are 60 one-sided

hexomino A hexomino (or 6-omino) is a polyomino of order 6; that is, a polygon in the plane made of 6 equal-sized squares connected edge to edge. The name of this type of figure is formed with the prefix hex(a)-. When rotations and reflections are not ...

es, the

polyomino A polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge. It is a polyform whose cells are squares. It may be regarded as a finite subset of the regular square tiling. Polyominoes have been used in popu ...

es made from six squares. There are 60 seconds in a minute, as well as 60 minutes in a degree.

In science and technology

The first

fullerene A fullerene is an allotropes of carbon, allotrope of carbon whose molecules consist of carbon atoms connected by single and double bonds so as to form a closed or partially closed mesh, with fused rings of five to six atoms. The molecules may ...

to be discovered was

buckminsterfullerene Buckminsterfullerene is a type of fullerene with the formula . It has a cage-like fused-ring structure ( truncated icosahedron) made of twenty hexagons and twelve pentagons, and resembles a football. Each of its 60 carbon atoms is bonded to i ...

C₆₀, an

allotrope of carbon Carbon is capable of forming many allotropes (structurally different forms of the same element) due to its valency ( tetravalent). Well-known forms of carbon include diamond and graphite. In recent decades, many more allotropes have been disc ...

with 60

atom Atoms are the basic particles of the chemical elements. An atom consists of a atomic nucleus, nucleus of protons and generally neutrons, surrounded by an electromagnetically bound swarm of electrons. The chemical elements are distinguished fr ...

s in each

molecule A molecule is a group of two or more atoms that are held together by Force, attractive forces known as chemical bonds; depending on context, the term may or may not include ions that satisfy this criterion. In quantum physics, organic chemi ...

, arranged in a

truncated icosahedron In geometry, the truncated icosahedron is a polyhedron that can be constructed by Truncation (geometry), truncating all of the regular icosahedron's vertices. Intuitively, it may be regarded as Ball (association football), footballs (or soccer ...

. This ball is known as a buckyball, and looks like a

soccer ball A football or soccer ball is the ball used in the sport of association football. The ball's spherical shape, as well as its size, mass, and material composition, are specified by Law 2 of the Laws of the Game maintained by the International Fo ...

. The

atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of its atomic nucleus. For ordinary nuclei composed of protons and neutrons, this is equal to the proton number (''n''p) or the number of pro ...

neodymium Neodymium is a chemical element; it has Symbol (chemistry), symbol Nd and atomic number 60. It is the fourth member of the lanthanide series and is considered to be one of the rare-earth element, rare-earth metals. It is a hard (physics), hard, sli ...

is 60, and

cobalt-60 Cobalt-60 (Co) is a synthetic radioactive isotope of cobalt with a half-life of 5.2714 years. It is produced artificially in nuclear reactors. Deliberate industrial production depends on neutron activation of bulk samples of the monoisotop ...

(⁶⁰Co) is a

radioactive Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is conside ...

isotope Isotopes are distinct nuclear species (or ''nuclides'') of the same chemical element. They have the same atomic number (number of protons in their Atomic nucleus, nuclei) and position in the periodic table (and hence belong to the same chemica ...

cobalt Cobalt is a chemical element; it has Symbol (chemistry), symbol Co and atomic number 27. As with nickel, cobalt is found in the Earth's crust only in a chemically combined form, save for small deposits found in alloys of natural meteoric iron. ...

. The electrical

utility frequency The utility frequency, (power) line frequency (American English) or mains frequency (British English) is the nominal frequency of the oscillations of alternating current (AC) in a wide area synchronous grid transmitted from a power station to t ...

in western Japan, South Korea, Taiwan, the Philippines, the United States, and several other countries in the Americas is 60 Hz. An

exbibyte The byte is a units of information, unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character (computing), character of text in a computer and for this ...

(sometimes called

exabyte The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable un ...

) is 2⁶⁰

byte The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable un ...

Cultural number systems

The

Babylonian cuneiform numerals Babylonian cuneiform numerals, also used in Assyria and Chaldea, were written in cuneiform, using a wedge-tipped reed stylus to print a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record. The ...

had a base of 60, inherited from the Sumerian and Akkadian civilizations, and possibly motivated by the large number of divisors that 60 has. The

sexagesimal Sexagesimal, also known as base 60, is a numeral system with 60 (number), sixty as its radix, base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified fo ...

measurement of time and of geometric angles is a legacy of the Babylonian system. The number system in the

Mali Empire The Mali Empire (Manding languages, Manding: ''Mandé''Ki-Zerbo, Joseph: ''UNESCO General History of Africa, Vol. IV, Abridged Edition: Africa from the Twelfth to the Sixteenth Century'', p. 57. University of California Press, 1997. or ''Manden ...

was based on 60, reflected in the counting system of the

Maasina Fulfulde Maasina Fulfulde is a variety of the Fula language. It is spoken mainly in Mali, Ivory Coast, and Ghana by 1.6 million people. The language has several mutually intelligible dialects albeit with some differences. The variety is named after the Ma ...

, a variant of the

Fula language Fula ( ),Laurie Bauer, 2007, ''The Linguistics Student's Handbook'', Edinburgh also known as Fulani ( ) or Fulah (, , ; Adlam script, Adlam: , , ; Ajami script, Ajami: , , ), is a Senegambian languages, Senegambian language spoken by arou ...

spoken in contemporary

Mali Mali, officially the Republic of Mali, is a landlocked country in West Africa. It is the List of African countries by area, eighth-largest country in Africa, with an area of over . The country is bordered to the north by Algeria, to the east b ...

. The Ekagi of

Western New Guinea Western New Guinea, also known as Papua, Indonesian New Guinea, and Indonesian Papua, is the western half of the island of New Guinea, formerly Dutch and granted to Indonesia in 1962. Given the island is alternatively named Papua, the region ...

used base 60, and the

sexagenary cycle The sexagenary cycle, also known as the gānzhī (干支) or stems-and-branches, is a cycle of sixty terms, each corresponding to one year, thus amounting to a total of sixty years every cycle, historically used for recording time in China and t ...

plays a role in

Chinese calendar The traditional Chinese calendar, dating back to the Han dynasty, is a lunisolar calendar that blends solar, lunar, and other cycles for social and agricultural purposes. While modern China primarily uses the Gregorian calendar for officia ...

and numerology. From

Polish–Lithuanian Commonwealth The Polish–Lithuanian Commonwealth, also referred to as Poland–Lithuania or the First Polish Republic (), was a federation, federative real union between the Crown of the Kingdom of Poland, Kingdom of Poland and the Grand Duchy of Lithuania ...

in Slavic and Baltic languages 60 has its own name '' kopa'' (, , , , , ), in Germanic languages: , , , , and in refer to 60 = 5

dozen A dozen (commonly abbreviated doz or dz) is a grouping of twelve. The dozen may be one of the earliest primitive integer groupings, perhaps because there are approximately a dozen cycles of the Moon, or months, in a cycle of the Sun, or year ...

small gross In English and related languages, several terms involving the words "great" or "gross" relate to numbers involving a multiple of exponents of twelve (dozen): *A gross refers to a group of 144 items (a dozen dozen or a square dozen, 122). *A great ...

. This quantity was used in international medieval treaties e.g. for ransom of captured

Teutonic Knights The Teutonic Order is a Catholic religious institution founded as a military society in Acre, Kingdom of Jerusalem. The Order of Brothers of the German House of Saint Mary in Jerusalem was formed to aid Christians on their pilgrimages to t ...

In religion

In Hinduism, the 60th birthday of a man is called Sashti poorthi. A ceremony called Sashti (60) Abda (years) Poorthi (completed) in Sanskrit is conducted to felicitate this birthday. It represents a milestone in his life. There are 60 years mentioned in the historic Indian calendars.

In other fields

It is: * In

time Time is the continuous progression of existence that occurs in an apparently irreversible process, irreversible succession from the past, through the present, and into the future. It is a component quantity of various measurements used to sequ ...

, the number of

second The second (symbol: s) is a unit of time derived from the division of the day first into 24 hours, then to 60 minutes, and finally to 60 seconds each (24 × 60 × 60 = 86400). The current and formal definition in the International System of U ...

s in a

minute A minute is a unit of time defined as equal to 60 seconds. It is not a unit in the International System of Units (SI), but is accepted for use with SI. The SI symbol for minutes is min (without a dot). The prime symbol is also sometimes used i ...

, and the number of minutes in an

hour An hour (symbol: h; also abbreviated hr) is a unit of time historically reckoned as of a day and defined contemporarily as exactly 3,600 seconds ( SI). There are 60 minutes in an hour, and 24 hours in a day. The hour was initially establis ...

. (a legacy of the Babylonian number system) * The number of feet in the standard measurement tool to evaluate an automotive launch on a

dragstrip A dragstrip is a facility for conducting automobile and motorcycle acceleration events such as drag racing. Although a quarter mile (1320 feet, 402 m) is the best known measure for a drag track, many tracks are eighth mile (201&n ...

, as the time taken to travel the first of the track. * The number of miles per hour an automobile accelerates to from rest (

0-60 The time it takes a vehicle to accelerate from 0 to 60 miles per hour (97 km/h or 27 m/s), often said as just "zero to sixty" or "nought to sixty", is a commonly used performance measure for automotive acceleration in the United S ...

) as one of the standard measurements of performance * The number of years in a

* In years of

marriage Marriage, also called matrimony or wedlock, is a culturally and often legally recognised union between people called spouses. It establishes rights and obligations between them, as well as between them and their children (if any), and b ...

, the

diamond Diamond is a Allotropes of carbon, solid form of the element carbon with its atoms arranged in a crystal structure called diamond cubic. Diamond is tasteless, odourless, strong, brittle solid, colourless in pure form, a poor conductor of e ...

wedding anniversary A wedding anniversary is the anniversary of the date that a wedding took place. Couples often mark the occasion by celebrating their relationship, either privately or with a larger party. Special celebrations and gifts are often given for partic ...

* The age for

senior citizen Old age is the range of ages for people nearing and surpassing life expectancy. People who are of old age are also referred to as: old people, elderly, elders, senior citizens, seniors or older adults. Old age is not a definite biological sta ...

s in some cultures * The international calling code for

Malaysia Malaysia is a country in Southeast Asia. Featuring the Tanjung Piai, southernmost point of continental Eurasia, it is a federation, federal constitutional monarchy consisting of States and federal territories of Malaysia, 13 states and thre ...

References

External links

* {{Integers, zero Integers