36 (number)

36 is the natural number following 35 and preceding 37.

List of numbersIntegers

<< 30 31 32 33 34 35 36 37 38 39 >>

Cardinal thirty-six
Ordinal36th (thirty-sixth)
Factorization<math>2^3\cdot 3^2<math>
Divisors 2, 3, 4, 6, 9, 12, 18
Roman numeralXXXVI
Binary100100
Hexadecimal24

In mathematics

It is the square of 6 as well as a triangular number, making it a triangular square number. It is also a 13-gonal number and a highly composite number. It is a Harshad number.

This number is the sum of a twin prime (17 + 19), and the sum of the cubes of the first three integers.

36 is the smallest number n with exactly 8 solutions to the equation φ(x) = n.

36 is the largest numeric base that most computer systems support because it exhausts the numerals, 0 - 9, and the letters, A - Z.

In science

In astronomy,

Messier object M36, a magnitude 6.5 open cluster in the constellation Auriga
The New General Catalogue object (http://www.ngcic.org/) NGC 36, a spiral galaxy in the constellation Pisces
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html) of the solar eclipse series which began on -1859 June 23 and ended on -561 August 11. The duration of Saros series 36 was 1298.1 years, and it contained 73 solar eclipses.
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html) of the lunar eclipse series which began on -1521 April 24 and ended on -223 June 11. The duration of Saros series 36 was 1298.1 years, and it contained 73 lunar eclipses.

In other fields

Thirty-six is also:

es:Treinta y seis ko:36 ia:36 it:Trentasei nl:Zesendertig ja:36 no:36 (tall) sl:36 (število) sv:36 (tal) zh:36

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