168 (number)

From Wikipedia, the free encyclopedia
← 167 168 169 →
160 161 162 163 164 165 166 167 168 169
List of numbersIntegers
0 100 200 300 400 500 600 700 800 900
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
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, 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.

In astronomy[]

  • 168P/Hergenrother is a periodic comet in the Solar System
  • 168 Sibylla is a dark Main belt asteroid

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 (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
  • The year AD 168 or 168 BC
  • 168 AH is a year in the Islamic calendar that corresponds to 784785 CE
  • The number of hours in a week, or 7 x 24 hours
  • In the game of dominoes, tiles are marked with a number of spots, or pips. The Double 6 set (28 tiles) totals 168 pips
  • Tracy 168, a New York City graffiti artist
  • Minuscule 168 is a Greek minuscule manuscript of the New Testament
  • Some Chinese consider 168 a lucky number, because it is roughly homophonous with the phrase "一路發", which means "fortune all the way"
  • 168 is the name of the most commonly used laboratory strain of Bacillus subtilis, a bacterium

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

External links[]

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