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12936 = 2337211
BaseRepresentation
bin11001010001000
3122202010
43022020
5403221
6135520
752500
oct31210
918663
1012936
1197a0
1275a0
135b71
144a00
153c76
hex3288

12936 has 48 divisors (see below), whose sum is σ = 41040. Its totient is φ = 3360.

The previous prime is 12923. The next prime is 12941. The reversal of 12936 is 63921.

12936 divided by its sum of digits (21) gives a palindrome (616).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

12936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

212936 is an apocalyptic number.

12936 is the 66-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520).

12936 is an abundant number, since it is smaller than the sum of its proper divisors (28104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12936 is a wasteful number, since it uses less digits than its factorization.

12936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 23 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 12936 is about 113.7365376649. The cubic root of 12936 is about 23.4746973777.

The spelling of 12936 in words is "twelve thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936