20 (number)

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20

0 10 20 30 40 50 60 70 80 90

Cardinal twenty
Ordinal 20th
(twentieth)
Numeral system vigesimal
Factorization 2^2 \cdot 5
Divisors 1, 2, 4, 5, 10, 20
Roman numeral XX
Binary 101002
Octal 248
Duodecimal 1812
Hexadecimal 1416

20 (twenty) is the natural number following 19 and preceding 21. A group of twenty units may also be referred to as a score.[1]


Contents

[edit] In mathematics

An icosahedron has 20 faces
  • 20 is a tetrahedral number as 20 = 1 + 3 + 6 + 10.
  • 20 is the basis for vigesimal number systems.
  • 20 is the third composite number comprising the product of a squared prime and a prime, and also the second member of the (22)q family in this form.
  • 20 has an aliquot sum of 22 (110% in abundance). Accordingly, 20 is the third abundant number and demonstrates an 8 member aliquot sequence; {20, 22, 14, 10, 8, 7, 1, 0}.
  • 20 is the smallest primitive abundant number.
  • 20 is the 4th composite number in the 7-aliquot tree. Two numbers have 20 as their aliquot sum; the discrete semiprime 34 and the squared prime 361. Only 2 other square primes are abundant 12 and 18.
  • An icosahedron has 20 faces. A dodecahedron has 20 vertices.
  • 20 can be written as the sum of three Fibonacci Numbers uniquely, i.e. 20 = 13 + 5 + 2.
  • The product of the number of divisors and the number of proper divisors of 20 is exactly 20.
  • 20 is the number of quarter or half turns required to optimally solve a Rubik's cube in the worst case.
  • 20 is the only number with more than one digit that can be written from base 2 to base 20 using only the digits 0 to 9.[2]

[edit] In science

[edit] Biology

  • The number of proteinogenic amino acids that are encoded by the standard genetic code.
  • In some countries, the number 20 is used as an index in measuring visual acuity. 20/20 indicates normal vision at 20 feet, although it is commonly used to mean "perfect vision" (Note that this applies only to countries using the Imperial system. The metric equivalent is 6/6). When someone is able to see only after an event how things turned out, that person is often said to have had "20/20 hindsight".
  • There are 20 baby teeth in the deciduous dentition.

[edit] In religion

[edit] In sports

A standard dartboard is laid out as 20 sectors

[edit] Age 20

  • It is at this point that a person is no longer a teenager.
  • Twenty is the age of majority in Japanese tradition.

[edit] In currency

[edit] In films

  • 20/20 is a late-night newsmagazine program on ABC-TV
  • In the 1974 sci-fi film Dark Star, Exponential Thermostellar Bomb number 20 threatens to detonate in the Dark Star's bomb bay
  • A 20-minute-long program of advertisements and trailers shown before some films playing in American movie theaters is called "The Twenty" (spelled "The 20wenty")

[edit] In games

  • Twenty questions is a popular party game
  • In the roleplaying game Dungeons and Dragons (as well as other RPGs that use twenty-sided dice), twenty-sided dice play a pivotal role in gameplay, and to "roll a twenty" is significant to the point that it is sometimes used in other, usually related, contexts, similar to the use of "doubles" in reference to Monopoly.

[edit] In music

[edit] In other fields

20 is:

[edit] Historical years

20 A.D., 20 B.C., 1920, 2020, etc.

[edit] References

  1. ^ John H. Conway and Richard K. Guy, The Book of Numbers. New York: Copernicus (1996): 11. ""Score" is related to "share" and comes from the Old Norse "skor" meaning a "notch" or "tally" on a stick used for counting. ... Often people counted in 20s; every 20th notch was larger, and so "score" also came to mean 20."
  2. ^ Sequence A131646 in The On-Line Encyclopedia of Integer Sequences
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