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12505968 = 243328949
BaseRepresentation
bin101111101101…
…001101110000
3212112100222000
4233231031300
511200142333
61124014000
7211204356
oct57551560
925470860
1012505968
117071a12
124231300
13278b3a7
1419377d6
151170713
hexbed370

12505968 has 40 divisors (see below), whose sum is σ = 35898000. Its totient is φ = 4168512.

The previous prime is 12505957. The next prime is 12505979. The reversal of 12505968 is 86950521.

It is a happy number.

12505968 is a `hidden beast` number, since 12 + 50 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12505957) and next prime (12505979).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14043 + ... + 14906.

It is an arithmetic number, because the mean of its divisors is an integer number (897450).

Almost surely, 212505968 is an apocalyptic number.

12505968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12505968 is an abundant number, since it is smaller than the sum of its proper divisors (23392032).

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

12505968 is a wasteful number, since it uses less digits than its factorization.

12505968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28966 (or 28954 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12505968 is about 3536.3778078706. The cubic root of 12505968 is about 232.1163704737.

The spelling of 12505968 in words is "twelve million, five hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28949 57898 86847 115796 173694 231592 260541 347388 463184 521082 694776 781623 1042164 1389552 1563246 2084328 3126492 4168656 6252984 12505968