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12956436 = 223439989
BaseRepresentation
bin110001011011…
…001100010100
3220101020220000
4301123030110
511304101221
61141411300
7215061603
oct61331424
926336800
1012956436
11734a3a9
124409b30
1328b843c
141a13a3a
15120de26
hexc5b314

12956436 has 30 divisors (see below), whose sum is σ = 33871530. Its totient is φ = 4318704.

The previous prime is 12956399. The next prime is 12956453. The reversal of 12956436 is 63465921.

It is a happy number.

12956436 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 3920400 = 3006^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12956436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19671 + ... + 20318.

It is an arithmetic number, because the mean of its divisors is an integer number (1129051).

Almost surely, 212956436 is an apocalyptic number.

It is an amenable number.

12956436 is an abundant number, since it is smaller than the sum of its proper divisors (20915094).

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

12956436 is a wasteful number, since it uses less digits than its factorization.

12956436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40005 (or 39994 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 12956436 is about 3599.5049659641. The cubic root of 12956436 is about 234.8705247241.

It can be divided in two parts, 129564 and 36, that added together give a square (129600 = 3602).

The spelling of 12956436 in words is "twelve million, nine hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 39989 79978 119967 159956 239934 359901 479868 719802 1079703 1439604 2159406 3239109 4318812 6478218 12956436