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12761376 = 253307433
BaseRepresentation
bin110000101011…
…100100100000
3220000100022120
4300223210200
511231331001
61133304240
7213320115
oct60534440
926010276
1012761376
1172268a1
124335080
13284a714
1419a290c
1511c1236
hexc2b920

12761376 has 48 divisors (see below), whose sum is σ = 33685344. Its totient is φ = 4230144.

The previous prime is 12761351. The next prime is 12761377. The reversal of 12761376 is 67316721.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12761377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29256 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (701778).

Almost surely, 212761376 is an apocalyptic number.

12761376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12761376 is an abundant number, since it is smaller than the sum of its proper divisors (20923968).

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

12761376 is a wasteful number, since it uses less digits than its factorization.

12761376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 12761376 is about 3572.3068177300. The cubic root of 12761376 is about 233.6858960404.

The spelling of 12761376 in words is "twelve million, seven hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 307 433 614 866 921 1228 1299 1732 1842 2456 2598 3464 3684 4912 5196 6928 7368 9824 10392 13856 14736 20784 29472 41568 132931 265862 398793 531724 797586 1063448 1595172 2126896 3190344 4253792 6380688 12761376