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12351968 = 25537283
BaseRepresentation
bin101111000111…
…100111100000
3212020112201022
4233013213200
511130230333
61120425012
7206663366
oct57074740
925215638
1012351968
116a77242
124178168
132736275
1418d7636
15113ec98
hexbc79e0

12351968 has 24 divisors (see below), whose sum is σ = 24780168. Its totient is φ = 6058624.

The previous prime is 12351967. The next prime is 12351971. The reversal of 12351968 is 86915321.

It is a super-2 number, since 2×123519682 = 305142226946048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351967) 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 3 ways as a sum of consecutive naturals, for example, 1946 + ... + 5337.

It is an arithmetic number, because the mean of its divisors is an integer number (1032507).

Almost surely, 212351968 is an apocalyptic number.

It is an amenable number.

12351968 is an abundant number, since it is smaller than the sum of its proper divisors (12428200).

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

12351968 is an equidigital number, since it uses as much as digits as its factorization.

12351968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7338 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 12351968 is about 3514.5366693207. The cubic root of 12351968 is about 231.1596629860.

The spelling of 12351968 in words is "twelve million, three hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 7283 14566 29132 58264 116528 233056 385999 771998 1543996 3087992 6175984 12351968