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12295968 = 253349367
BaseRepresentation
bin101110111001…
…111100100000
3212010200220020
4232321330200
511121432333
61115313440
7206341206
oct56717440
925120806
1012295968
116a39163
12414b880
132716929
1418c1076
15112d3b3
hexbb9f20

12295968 has 48 divisors (see below), whose sum is σ = 32457600. Its totient is φ = 4075776.

The previous prime is 12295967. The next prime is 12296017. The reversal of 12295968 is 86959221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12295967) 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 7 ways as a sum of consecutive naturals, for example, 33321 + ... + 33687.

It is an arithmetic number, because the mean of its divisors is an integer number (676200).

Almost surely, 212295968 is an apocalyptic number.

It is an amenable number.

12295968 is an abundant number, since it is smaller than the sum of its proper divisors (20161632).

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

12295968 is a wasteful number, since it uses less digits than its factorization.

12295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 12295968 is about 3506.5607081584. The cubic root of 12295968 is about 230.8097982698.

The spelling of 12295968 in words is "twelve million, two hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 367 698 734 1047 1101 1396 1468 2094 2202 2792 2936 4188 4404 5584 5872 8376 8808 11168 11744 16752 17616 33504 35232 128083 256166 384249 512332 768498 1024664 1536996 2049328 3073992 4098656 6147984 12295968