36 (number)

36 is the natural number following 35 and preceding 37.


Cardinal	thirty-six
Ordinal	36th (thirty-sixth)
Factorization	$2^3\cdot 3^2$
Divisors	2, 3, 4, 6, 9, 12, 18
Roman numeral	XXXVI
Binary	100100
Hexadecimal	24

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 base Mathematica's BaseForm command can handle since it represents base 36 numbers with the numerals 0 - 9 and the letters A - Z.

In science

The atomic number of krypton

In astronomy,

Messier object M36, a magnitude 6.5 open cluster in the constellation Auriga

The New General Catalogue object NGC 36, a spiral galaxy in the constellation Pisces

The Saros number 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 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:

The atomic number of krypton.
On the piano, the number of black keys (for notes not on the C major scale).
The code for direct dial international phone calls to Hungary.
In the title of the movie 36 Fillette, starring Delphine Zentout and Oliver Parniere, directed by Catherine Breillat
The Thirty-Six Strategies is a Chinese collection of 36 proverbs commented as militaristic tactics.
Historical years: 36 A.D., 36 B.C., or 1936

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