168 (number)

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

← 167 168 169 →
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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
Quaternary22204
Quinary11335
Senary4406
Octal2508
Duodecimal12012
HexadecimalA816
Vigesimal8820
Base 364O36

In mathematics

168 is an even number, a composite number, an abundant number, and an idoneal number.[1]

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).[2] 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
  • New York City Subway stations
    • 168th Street (New York City Subway); a subway station complex at 168th Street and Broadway consisting of:
      • 168th Street (IRT Broadway – Seventh Avenue Line); serving the 1 train
      • 168th Street (IND Eighth Avenue Line); serving the A and ​C trains
    • 168th Street (BMT Jamaica Line); was the former terminal of the BMT Jamaica Line in Queens
  • British Rail Class 168
  • VASP Flight 168 from Rio de Janeiro, Brazil to Fortaleza; crashed on June 8, 1982

In other fields

168 is also:

There are 168 pips on a double-six set of dominoes
gollark: It was nicknamed CD because the instructions were all distributed on CDs, because the government isn't very competent.
gollark: There is no chance of you maintaining sufficient coherency for the gueßing event at this rate.
gollark: Yes they do. I think I would know.
gollark: You know what they say; beware apioforms, they strike at night, you will never see them coming.
gollark: Looks like the apiohypnoforms are kicking in.

See also

References
  1. "Sloane's A000926 : Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. This Week's Finds in Mathematical Physics
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