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12857664 = 263167401
BaseRepresentation
bin110001000011…
…000101000000
3220012020101210
4301003011000
511242421124
61135330120
7214200621
oct61030500
926166353
1012857664
117292176
124380940
1328824b1
1419c9a48
1511dea29
hexc43140

12857664 has 56 divisors (see below), whose sum is σ = 34308288. Its totient is φ = 4249600.

The previous prime is 12857659. The next prime is 12857711. The reversal of 12857664 is 46675821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31864 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (612648).

Almost surely, 212857664 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 12857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154144).

12857664 is an abundant number, since it is smaller than the sum of its proper divisors (21450624).

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

12857664 is a wasteful number, since it uses less digits than its factorization.

12857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 12857664 is about 3585.7584971663. The cubic root of 12857664 is about 234.2721648774.

The spelling of 12857664 in words is "twelve million, eight hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 401 501 668 802 1002 1203 1336 1604 2004 2406 2672 3208 4008 4812 5344 6416 8016 9624 10688 12832 16032 19248 25664 32064 38496 66967 76992 133934 200901 267868 401802 535736 803604 1071472 1607208 2142944 3214416 4285888 6428832 12857664