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12306976 = 251134963
BaseRepresentation
bin101110111100…
…101000100000
3212011020222221
4232330220200
511122310401
61115440424
7206415253
oct56745040
925136887
1012306976
116a46460
124156114
13271b946
1418c509a
1511317a1
hexbbca20

12306976 has 24 divisors (see below), whose sum is σ = 26432784. Its totient is φ = 5593920.

The previous prime is 12306967. The next prime is 12306979. The reversal of 12306976 is 67960321.

It is not an unprimeable number, because it can be changed into a prime (12306979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17130 + ... + 17833.

It is an arithmetic number, because the mean of its divisors is an integer number (1101366).

Almost surely, 212306976 is an apocalyptic number.

12306976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12306976 is an abundant number, since it is smaller than the sum of its proper divisors (14125808).

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

12306976 is a wasteful number, since it uses less digits than its factorization.

12306976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34984 (or 34976 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 12306976 is about 3508.1299861892. The cubic root of 12306976 is about 230.8786554332.

The spelling of 12306976 in words is "twelve million, three hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 34963 69926 139852 279704 384593 559408 769186 1118816 1538372 3076744 6153488 12306976