116 (one hundred
ndsixteen) 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
115 and preceding
117 117 may refer to:
*117 (number)
*AD 117
*117 BC
*117 (emergency telephone number)
*117 (MBTA bus)
* 117 (TFL bus)
*117 (New Jersey bus)
*''117°'', a 1998 album by Izzy Stradlin
*No. 117 (SPARTAN-II soldier ID), personal name John, the Master Chief ...
.
In mathematics
116 is a
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 Ï ...
, meaning that there is no solution to the equation , where stands for
Euler's totient function
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ...
.
116! + 1 is a
factorial prime.
There are 116 ternary
Lyndon words of length six, and 116
irreducible polynomials of degree six over a three-element field, which form the basis of a
free Lie algebra of dimension 116.
There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every ''k'', the union of the first ''k'' subsets is a consecutive sequence of integers.
There are 116 different 6×6
Costas arrays.
[.]
See also
*
116 (disambiguation) 116 (''one hundred and sixteen'') may refer to:
*116 (number)
*AD 116
*116 BC
*116 (Devon and Cornwall) Engineer Regiment, Royal Engineers, a military unit
*116 (MBTA bus)
*116 (New Jersey bus)
*116 (hip hop group), a Christian hip hop collective
* ...
References
{{DEFAULTSORT:116 (Number)
Integers