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168 (number)

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← 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
Binary101010002
Ternary200203
Senary4406
Octal2508
Duodecimal12012
HexadecimalA816

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

In mathematics

168 is an even number, a composite number, and an abundant number.

There are 168 primes less than 1000. 168 is the product of the first two perfect numbers.

168 is the order of the group PSL(2,7), 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 PSL(2,7). The Fano plane has 168 symmetries.

168 is the sum of four consecutive prime numbers: 37 + 41 + 43 + 47.

In astronomy

In the military

In movies

In transportation

In other fields

168 is also:

There are 168 pips on a double-six set of dominoes

See also

References