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12985504 = 257291999
BaseRepresentation
bin110001100010…
…010010100000
3220102201202121
4301202102200
511311014004
61142154024
7215242420
oct61422240
926381677
1012985504
11736a224
124422914
1328c873c
141a20480
151217854
hexc624a0

12985504 has 48 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 5370624.

The previous prime is 12985481. The next prime is 12985523. The reversal of 12985504 is 40558921.

It is a self number, because there is not a number n which added to its sum of digits gives 12985504.

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, 5497 + ... + 7495.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 212985504 is an apocalyptic number.

12985504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

12985504 is an abundant number, since it is smaller than the sum of its proper divisors (17254496).

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

12985504 is a wasteful number, since it uses less digits than its factorization.

12985504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 12985504 is about 3603.5404812490. The cubic root of 12985504 is about 235.0460389654.

The spelling of 12985504 in words is "twelve million, nine hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1999 3248 3998 6496 7996 13993 15992 27986 31984 55972 57971 63968 111944 115942 223888 231884 405797 447776 463768 811594 927536 1623188 1855072 3246376 6492752 12985504