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12710961 = 3229311571
BaseRepresentation
bin110000011111…
…010000110001
3212220210011100
4300133100301
511223222321
61132235013
7213020124
oct60372061
925823140
1012710961
1171a1a2a
12430ba69
1328307a3
14198c3bb
1511b1326
hexc1f431

12710961 has 24 divisors (see below), whose sum is σ = 19618560. Its totient is φ = 7912800.

The previous prime is 12710959. The next prime is 12710987. The reversal of 12710961 is 16901721.

12710961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12710961 - 21 = 12710959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12710941) 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 23 ways as a sum of consecutive naturals, for example, 7306 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (817440).

Almost surely, 212710961 is an apocalyptic number.

It is an amenable number.

12710961 is a deficient number, since it is larger than the sum of its proper divisors (6907599).

12710961 is a wasteful number, since it uses less digits than its factorization.

12710961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12710961 is about 3565.2434699470. The cubic root of 12710961 is about 233.3777573013.

The spelling of 12710961 in words is "twelve million, seven hundred ten thousand, nine hundred sixty-one".

Divisors: 1 3 9 29 31 87 93 261 279 899 1571 2697 4713 8091 14139 45559 48701 136677 146103 410031 438309 1412329 4236987 12710961