36 (number)

36 is the natural number following 35 and preceding 37.

List of numbers — Integers << 30 31 32 33 34 35 36 37 38 39 >>
Cardinal	thirty-six
Ordinal	36th (thirty-sixth)
Factorization	<math>2^3\cdot 3^2<math>
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 tridecahedral 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.

In other fields

Thirty-six is also:

• The atomic number of krypton.
• On the piano, the total amount 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