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20 (number)

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← 19 20 21 →
Cardinaltwenty
Ordinal20th
(twentieth)
Factorization22 × 5
Divisors1, 2, 4, 5, 10, 20
Greek numeralΚ´
Roman numeralXX
Binary101002
Ternary2023
Senary326
Octal248
Duodecimal1812
Hexadecimal1416

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]

In mathematics

An icosahedron has 20 faces
  • 20 is a tetrahedral number as 1, 4, 10, 20.
  • 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]

In science

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".

As an indefinite number

  • A 'score' is a group of 20 (often used in combination with a cardinal number, i.e. fourscore to mean 80), but also often used as an indefinite number[3] (e.g. the newspaper headline "Scores of Typhoon Survivors Flown to Manila")[4]

In sports

A standard dartboard is laid out as 20 sectors

Age 20

In other fields

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
  3. ^ "Biblical Criticism", The Classical Journal 36:71:83ff (March 1827) full text
  4. ^ "CBS News", Scores of Typhoon Survivors Flown to Manila (November 2013) [1]