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13396032 = 2632131789
BaseRepresentation
bin110011000110…
…100001000000
3221012120220100
4303012201000
511412133112
61155042400
7221602326
oct63064100
927176810
1013396032
11761a701
1245a0400
132a10560
141ac9d16
1512992dc
hexcc6840

13396032 has 84 divisors (see below), whose sum is σ = 41374060. Its totient is φ = 4119552.

The previous prime is 13396021. The next prime is 13396043. The reversal of 13396032 is 23069331.

It is an interprime number because it is at equal distance from previous prime (13396021) and next prime (13396043).

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 5645376 = 2784^2 + 2376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13395987 and 13396005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6594 + ... + 8382.

Almost surely, 213396032 is an apocalyptic number.

13396032 is a gapful number since it is divisible by the number (12) 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 13396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687030).

13396032 is an abundant number, since it is smaller than the sum of its proper divisors (27978028).

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

13396032 is a wasteful number, since it uses less digits than its factorization.

13396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13396032 is about 3660.0590159176. The cubic root of 13396032 is about 237.4973266550.

The spelling of 13396032 in words is "thirteen million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1789 1872 2496 3578 3744 5367 7156 7488 10734 14312 16101 21468 23257 28624 32202 42936 46514 57248 64404 69771 85872 93028 114496 128808 139542 171744 186056 209313 257616 279084 343488 372112 418626 515232 558168 744224 837252 1030464 1116336 1488448 1674504 2232672 3349008 4465344 6698016 13396032