10 (number)

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10 (ten) is an even natural number following 9 and preceding 11.

p[o | numeral = decimal | factorization = 2\cdot5 | prime = | divisor = 1, 2, 5, 10 | roman = X | unicode = X, x

| greek prefix = deca-/deka- | latin prefix = deci- | bin = 1010 | oct = 12 | duo = A | hex = A | misc = ---- |- | Chinese numeral | 十 |- | Hebrew | י (Yod) |- | Khmer | ១០ }}

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Contents

  • 1 In mathematics
    • 1.1 In numeral systems
    • 1.2 List of basic calculations
  • 2 In science
    • 2.1 Astronomy
  • 3 In religion
  • 4 In money
  • 5 In music
  • 6 In sports
  • 7 In technology
  • 8 In other fields
  • 9 Historical years

[edit] In mathematics

Ten is a composite number, its proper divisors being 1, 2 and 5. Ten is the smallest noncototient, a number that can not be expressed as the difference between any integer and the total number of coprimes below it.

Ten is the second discrete biprime (2.5) and the second member of the (2.q) discrete biprime family. Ten has an aliquot sum σ(n) of 8 and is accordingly the first discrete biprime to be in deficit. All subsequent discrete biprimes are in deficit. The aliquot sequence for 10 comprises five members (10,8,7,1,0) with this number being the 2nd composite member of the 7-aliquot tree

Ten is a semi-meandric number.

Ten is the sum of the first three prime numbers and also of the first four factorials. Ten is the eighth Perrin number, preceded in the sequence by 5, 5, 7.

Ten squared equals 100.

A polygon with ten sides is a decagon, and 10 is a decagonal number. But it is also a triangular number and a centered triangular number.

Ten is the number of n-Queens Problem solutions for n = 5.

[edit] In numeral systems

Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. Ten is the first two-digit number in decimal and thus the lowest number where the position of a numeral affects its value. Any integer written in the decimal system can be multiplied by ten by adding a zero to the end (e.g. 855 * 10 = 8550). The reason for the choice of ten is assumed to be that humans have ten fingers (digits).

The digit '1' followed by '0' is how the value of p is written in base p. (E.g. 16 in hexadecimal is 10.)

The Roman numeral for ten is X (which looks like two V's [the Roman numeral for 5] put together); it is thought that the V for five is derived from an open hand (five digits displayed). The Chinese word numeral for ten is 十, which resembles a cross.

Base Numeral system Number
1 unary **********
2 binary 1010
3 ternary 101
4 quaternary 22
5 quinary 20
6 senary 14
7 septenary 13
8 octal 12
9 novenary 11
10 decimal 10
over 10 (e.g., hexadecimal) A

Ten is a Harshad number in bases 2, 3, 5, 6, 9 and all others above.

[edit] List of basic calculations

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 25 50 100 1000
10 \times x 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 250 500 1000 10000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
10 \div x 10 5 3.\overline{3} 2.5 2 1.\overline{6} 1.\overline{4}2857\overline{1} 1.25 1.\overline{1} 1 0.\overline{9}\overline{0} 0.8\overline{3} 0.\overline{7}6923\overline{0} 0.\overline{7}1428\overline{5} 0.\overline{6}
x \div 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13
10 ^ x\, 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000 100000000000 1000000000000 10000000000000
x ^ {10}\, 1 1024 59049 1048576 9765625 60466176 282475249 1073741824 3486784401 10000000000 25937424601 61917364224 137858491849

[edit] In science

[edit] Astronomy

[edit] In religion

[edit] In money

[edit] In music

[edit] In sports

10 is a bad influensv

[edit] In technology

[edit] In other fields

10 playing cards of all four suites

Ten is:

[edit] Historical years

10 A.D., 10 B.C., 1910, 2010, etc.

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