168 (number)

← 167 168 169 →
Cardinalone hundred sixty-eight
Ordinal168th
(one hundred sixty-eighth)
Factorization23 × 3 × 7
Divisors1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greek numeralΡΞΗ´
Roman numeralCLXVIII, clxviii
Binary101010002
Ternary200203
Senary4406
Octal2508
Duodecimal12012
HexadecimalA816

168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169.

Mathematics

168 is a Dedekind number,[1] and an idoneal numbers, and a Cunningham number.[2]

Abstract algebra

168 is the order of the second smallest nonabelian simple group From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is .[3]

In other fields

Numerology

Some Chinese consider 168 a lucky number, because 一六八 ("168") Mandarin pinyin: yīliùbā is roughly homophonous with the phrase "一路發" Mandarin pinyin: yīlùfā which means "fortune all the way", or, as the United States Mint claims, "Prosperity Forever".[4]

References

allikas: https://en.wikipedia.org/wiki/168_(number)