186 (number)
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186 (one hundred ndeighty-six) 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 n ...
following 185 and preceding 187.


In mathematics

There is no integer with exactly 186
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 ...
s less than it, so 186 is a
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 nontotient ...
. It is also never the difference between an integer and the total of coprimes below it, so it 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'' − Ï†(''m'') = ''n'', where Ï ...
. There are 186 different pentahexes, shapes formed by gluing together five regular hexagons, when rotations of shapes are counted as distinct from each other. 186 is a Fine number.


See also

* The year AD 186 or 186 BC * List of highways numbered 186 *


References

{{DEFAULTSORT:186 (Number) Integers