192 (one hundred
ndninety-two) 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
191
Year 191 ( CXCI) 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 Apronianus and Bradua (or, less frequently, year 944 '' Ab urbe cond ...
and preceding
193
Year 193 ( CXCIII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sosius and Ericius (or, less frequently, year 946 '' Ab urbe condi ...
.
In mathematics
192 has the
prime factorization . Because it has so many small prime factors, it is the smallest number with 14
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, namely
1,
2,
3,
4,
6,
8,
12,
16,
24,
32,
48,
64,
96, and 192 itself. Because its only prime factors are 2 and 3, it is a 3-
smooth number
In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number whose every prime factor is at most 7, so 49 = 72 and 15750 = 2 × 32 à ...
.
192 is the
sum of ten consecutive
prime
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s (
5 +
7 +
11 +
13 +
17 +
19 +
23 +
29 +
31 +
37).
192 is a
Leyland number of the second kind.
See also
*
192 (disambiguation)
References
{{Integers, 1
Integers