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12960431 = 112234657
BaseRepresentation
bin110001011100…
…001010101111
3220101110100222
4301130022233
511304213211
61141441555
7215106341
oct61341257
926343328
1012960431
117352400
1244102bb
1328ba1c3
141a15291
1512101db
hexc5c2af

12960431 has 12 divisors (see below), whose sum is σ = 14868336. Its totient is φ = 11267520.

The previous prime is 12960407. The next prime is 12960457. The reversal of 12960431 is 13406921.

12960431 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 12960431 - 210 = 12959407 is a prime.

It is a super-2 number, since 2×129604312 = 335945543411522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12960431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960401) 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 11 ways as a sum of consecutive naturals, for example, 455 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (1239028).

Almost surely, 212960431 is an apocalyptic number.

12960431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12960431 is a deficient number, since it is larger than the sum of its proper divisors (1907905).

12960431 is a wasteful number, since it uses less digits than its factorization.

12960431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 12960431 is about 3600.0598606134. The cubic root of 12960431 is about 234.8946623116.

The spelling of 12960431 in words is "twelve million, nine hundred sixty thousand, four hundred thirty-one".

Divisors: 1 11 23 121 253 2783 4657 51227 107111 563497 1178221 12960431