36  

Cardinal  thirtysix 
Ordinal  36th (thirtysixth) 
Factorization  
Divisors  1, 2, 3, 4, 6, 9, 12, 18, 36 
Roman numeral  XXXVI 
Binary  100100_{2} 
Octal  44_{8} 
Duodecimal  30_{12} 
Hexadecimal  24_{16} 
36 (thirtysix) is the natural number following 35 and preceding 37.
Contents 
36 the square of 6 as well as a triangular number, making it a square triangular number, the smallest square triangular number other than 1 and also the only triangular number whose square root is also a triangular number.
It is also a 13gonal number.
It is the smallest number n with exactly 8 solutions to the equation φ(x) = n. Being the smallest number with exactly 9 divisors, 36 is a highly composite number. Adding up some subsets of its divisors (e.g., 6, 12 and 18) gives 36, hence 36 is a semiperfect 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 interior angle of each tip of a regular pentagram.
The thirtysix officers problem is a mathematical puzzle.
The number of possible outcomes (not summed) in the roll of two distinct dice.
36 is the largest numeric base that some computer systems support because it exhausts the numerals, 09, and the letters, AZ. See Base 36.
The truncated cube and the truncated octahedron are Archimedean solids with 36 edges.
In base 10, it is a Harshad number.
The number of domino tilings of a 4×4 checkerboard is 36.
Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number.
Because 36^{2} + 1 = 1297, a prime, which is obviously more than 2 × 36, 36 is a Størmer number.
The sum of the integers from 1 to 36 is 666 (see number of the beast).
Thirtysix may also refer to:
36 A.D., 36 B.C., 1936, 2036, etc.
Thirtysix is a number. It comes between thirtyfive and thirtyseven, and is an even number. It is divisible by 3, 4, 6, 9, and 12. 36 is the 6th square number after 1, 4, 9, 16, and 25.
