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13088512 = 28294143
BaseRepresentation
bin110001111011…
…011100000000
3220121222001201
4301323130000
511322313022
61144310544
7216151633
oct61733400
926558051
1013088512
11742a658
124472454
1329335a8
141a49c1a
151238127
hexc7b700

13088512 has 72 divisors (see below), whose sum is σ = 28329840. Its totient is φ = 6021120.

The previous prime is 13088507. The next prime is 13088533. The reversal of 13088512 is 21588031.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 304363 + ... + 304405.

It is an arithmetic number, because the mean of its divisors is an integer number (393470).

Almost surely, 213088512 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 13088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164920).

13088512 is an abundant number, since it is smaller than the sum of its proper divisors (15241328).

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

13088512 is an equidigital number, since it uses as much as digits as its factorization.

13088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13088512 is about 3617.8048593035. The cubic root of 13088512 is about 235.6659066569.

The spelling of 13088512 in words is "thirteen million, eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 41 43 58 64 82 86 116 128 164 172 232 256 328 344 464 656 688 928 1189 1247 1312 1376 1763 1856 2378 2494 2624 2752 3526 3712 4756 4988 5248 5504 7052 7424 9512 9976 10496 11008 14104 19024 19952 28208 38048 39904 51127 56416 76096 79808 102254 112832 152192 159616 204508 225664 304384 319232 409016 451328 818032 1636064 3272128 6544256 13088512