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13975296 = 28331587
BaseRepresentation
bin110101010011…
…111100000000
3222022000111120
4311103330000
512034202141
61215312240
7226534206
oct65237400
928260446
1013975296
117985935
12481b680
132b8410a
141bdb076
151360c66
hexd53f00

13975296 has 72 divisors (see below), whose sum is σ = 38459904. Its totient is φ = 4500480.

The previous prime is 13975289. The next prime is 13975319. The reversal of 13975296 is 69257931.

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, 23515 + ... + 24101.

Almost surely, 213975296 is an apocalyptic number.

13975296 is a gapful number since it is divisible by the number (16) 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 13975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229952).

13975296 is an abundant number, since it is smaller than the sum of its proper divisors (24484608).

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

13975296 is an equidigital number, since it uses as much as digits as its factorization.

13975296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 13975296 is about 3738.3547183220. The cubic root of 13975296 is about 240.8723806799.

The spelling of 13975296 in words is "thirteen million, nine hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 587 744 768 992 1174 1488 1761 1984 2348 2976 3522 3968 4696 5952 7044 7936 9392 11904 14088 18197 18784 23808 28176 36394 37568 54591 56352 72788 75136 109182 112704 145576 150272 218364 225408 291152 436728 450816 582304 873456 1164608 1746912 2329216 3493824 4658432 6987648 13975296