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12934836 = 2233229523
BaseRepresentation
bin110001010101…
…111010110100
3220100011021000
4301111322310
511302403321
61141123300
7214641615
oct61257264
926304230
1012934836
117335152
1243b9530
1328ab665
141a09c0c
151207826
hexc55eb4

12934836 has 48 divisors (see below), whose sum is σ = 33745600. Its totient is φ = 4284576.

The previous prime is 12934799. The next prime is 12934837. The reversal of 12934836 is 63843921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 12934836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12934837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24471 + ... + 24993.

Almost surely, 212934836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12934836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872800).

12934836 is an abundant number, since it is smaller than the sum of its proper divisors (20810764).

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

12934836 is a wasteful number, since it uses less digits than its factorization.

12934836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12934836 is about 3596.5033018197. The cubic root of 12934836 is about 234.7399326083.

The spelling of 12934836 in words is "twelve million, nine hundred thirty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 523 687 916 1046 1374 1569 2061 2092 2748 3138 4122 4707 6183 6276 8244 9414 12366 14121 18828 24732 28242 56484 119767 239534 359301 479068 718602 1077903 1437204 2155806 3233709 4311612 6467418 12934836