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12960464 = 2411211349
BaseRepresentation
bin110001011100…
…001011010000
3220101110102012
4301130023100
511304213324
61141442052
7215106416
oct61341320
926343365
1012960464
117352430
124410328
1328ba21a
141a152b6
15121020e
hexc5c2d0

12960464 has 40 divisors (see below), whose sum is σ = 27602400. Its totient is φ = 5846400.

The previous prime is 12960457. The next prime is 12960473. The reversal of 12960464 is 46406921.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12960464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36962 + ... + 37310.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 212960464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801200).

12960464 is an abundant number, since it is smaller than the sum of its proper divisors (14641936).

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

12960464 is a wasteful number, since it uses less digits than its factorization.

12960464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 12960464 is about 3600.0644438676. The cubic root of 12960464 is about 234.8948616752.

The spelling of 12960464 in words is "twelve million, nine hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 349 422 698 844 1396 1688 2321 2792 3376 3839 4642 5584 7678 9284 15356 18568 30712 37136 61424 73639 147278 294556 589112 810029 1178224 1620058 3240116 6480232 12960464