270 (two hundred ndseventy) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...

following

269 Year 269 (Roman numerals, CCLXIX) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Claudius and Paternus (or, less frequently, year 102 ...

and preceding 271.

In mathematics

*270 is a

harmonic divisor number In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor numbers are: : 1, 6, 2 ...

*270 is the fourth number that is divisible by its average integer divisor *270 is a practical number, by the second definition *The sum of the

coprime In mathematics, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equivale ...

counts for the first 29 integers is 270 *270 is a

sparsely totient number In mathematics, a sparsely totient number is a certain kind of natural number. A natural number, ''n'', is sparsely totient if for all ''m'' > ''n'', :\varphi(m)>\varphi(n) where \varphi is Euler's totient function. The first few sparsely toti ...

, the largest integer with 72 as its totient *Given 6 elements, there are 270 square permutations *10! has 270

divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...

s *270 is a Harshad number in base 10 *270 is the smallest positive integer that has divisors ending by digits 1, 2, ..., 9. *270 is the smallest sum of a set of even numbers that contain every digit once.

In other fields

*The year 270 BC *The year

270 __NOTOC__ Year 270 ( CCLXX) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Antiochianus and Orfitus (or, less frequently, year 10 ...

AD *The caliber of the

.270 Winchester The .270 Winchester is a rifle cartridge developed by Winchester Repeating Arms Company in 1923 and unveiled in 1925 as a chambering for their bolt-action Model 54The Complete Reloading Manual for the .270 Winchester, Loadbooks USA, Inc., 2004 ...

rifle *The number of

U.S. Electoral College The United States Electoral College is the group of presidential electors required by the Constitution to form every four years for the sole purpose of appointing the president and vice president. Each state and the District of Columbia appo ...

votes needed to be elected

President of the United States The president of the United States (POTUS) is the head of state and head of government of the United States of America. The president directs the executive branch of the federal government and is the commander-in-chief of the United States ...

*The average number of days in human

pregnancy Pregnancy is the time during which one or more offspring develops (gestation, gestates) inside a woman, woman's uterus (womb). A multiple birth, multiple pregnancy involves more than one offspring, such as with twins. Pregnancy usually occur ...

Integers from 271 to 279

271

272

272 = 2⁴·17, sum of four consecutive primes (61 + 67 + 71 + 73)
Euler number
primitive semiperfect number,

pronic number A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n(n+1).. The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers,. or rectangular number ...

. 272 is the smallest palindrome divisible by a fourth power.

273

274

274 = 2·137,

tribonacci number In mathematics, the Fibonacci numbers form a sequence defined recursively by: :F_n = \begin 0 & n = 0 \\ 1 & n = 1 \\ F_ + F_ & n > 1 \end That is, after two starting values, each number is the sum of the two preceding numbers. The Fibonacci seque ...

Smith number In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-f ...

nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ...

noncototient In mathematics, a noncototient is a positive integer ''n'' that cannot be expressed as the difference between a positive integer ''m'' and the number of coprime integers below it. That is, ''m'' − φ(''m'') = ''n'', where � ...

centered triangular number A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers. The followin ...

, 274⁶⁴ + 1 is prime

275

275 = 5²·11. 275 is the sum of fifth powers of the first two primes. The maximal number of pieces that can be obtained by cutting an annulus with 22 cuts.

276

277

278

278 = 2·139 = Φ(30), nontotient. 278 is the smallest semiprime such that the next semiprime (287) is its anagram.

279

279 = 3²·31. Every positive integer is the sum of at most 279 eighth powers. See

Waring's problem In number theory, Waring's problem asks whether each natural number ''k'' has an associated positive integer ''s'' such that every natural number is the sum of at most ''s'' natural numbers raised to the power ''k''. For example, every natural numb ...

References

{{Integers, 2 Integers