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36 (number)

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36 (thirty-six) is the natural number following 35 and preceding 37.

Cardinal 36
thirty-six
Ordinal 36th
thirty-sixth
Factorization[2^2\cdot 3^2]
Divisors 1, 2, 3, 4, 6,
9, 12, 18, 36
Roman numeralXXXVI
Binary100100
Hexadecimal24

In mathematics

It is the square of 6 as well as a triangular number, making it a triangular square number, and also the only triangular number whose square root is also a triangular number. It is also a 13-gonal number.

36 is the smallest number n with exactly 8 solutions to the equation φ(x) = n. The smallest number with exactly 9 divisors, 36 is a highly composite 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 number of degrees in the angle of all 5 tips in a perfect star.

The thirty-six officers problem is a mathematical puzzle.

The number of possible outcomes (not summed) in the roll of two dice.

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

The truncated cube and the truncated octahedron are Archimedean solids with 36 edges.

In base 10, it is a Harshad number.

Measurements

In science

Astronomy

In religion

In the arts

Literature

The number 36 appears in some book titles, such as:

Art

Music

The number 36 appears in some song titles, such as:

Television and film

The number 36 appears in some film and television titles [link], such as:

In other fields

Thirty-six is also:

Historical years

36 A.D., 36 B.C., 1936, 2036, etc.

 


From Wikipedia, the Free Encyclopedia. Original article here. Support Wikipedia by contributing or donating.
All text is available under the terms of the GNU Free Documentation License See Wikipedia Copyrights for details.

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