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12936948 = 22319232467
BaseRepresentation
bin110001010110…
…011011110100
3220100021011020
4301112123310
511302440243
61141141140
7214651023
oct61263364
926307136
1012936948
1173367a2
1243ba7b0
1328ac5cb
141a0a8ba
151208283
hexc566f4

12936948 has 48 divisors (see below), whose sum is σ = 33169920. Its totient is φ = 3906144.

The previous prime is 12936947. The next prime is 12936977. The reversal of 12936948 is 84963921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936943) 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, 4011 + ... + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (691040).

Almost surely, 212936948 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 12936948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584960).

12936948 is an abundant number, since it is smaller than the sum of its proper divisors (20232972).

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

12936948 is a wasteful number, since it uses less digits than its factorization.

12936948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2514 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12936948 is about 3596.7969083617. The cubic root of 12936948 is about 234.7527080249.

The spelling of 12936948 in words is "twelve million, nine hundred thirty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2467 2622 4934 5244 7401 9868 14802 29604 46873 56741 93746 113482 140619 170223 187492 226964 281238 340446 562476 680892 1078079 2156158 3234237 4312316 6468474 12936948