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13955232 = 253172503
BaseRepresentation
bin110101001111…
…000010100000
3222020222222110
4311033002200
512033031412
61215035320
7226421544
oct65170240
928228873
1013955232
117971855
12480bb40
132b77c45
141bd3a24
151359d3c
hexd4f0a0

13955232 has 72 divisors (see below), whose sum is σ = 38991456. Its totient is φ = 4369408.

The previous prime is 13955219. The next prime is 13955233. The reversal of 13955232 is 23255931.

It is a self number, because there is not a number n which added to its sum of digits gives 13955232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27493 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (541548).

Almost surely, 213955232 is an apocalyptic number.

13955232 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 13955232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495728).

13955232 is an abundant number, since it is smaller than the sum of its proper divisors (25036224).

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

13955232 is a wasteful number, since it uses less digits than its factorization.

13955232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 13955232 is about 3735.6702209911. The cubic root of 13955232 is about 240.7570538894.

The spelling of 13955232 in words is "thirteen million, nine hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 503 544 578 816 867 1006 1156 1509 1632 1734 2012 2312 3018 3468 4024 4624 6036 6936 8048 8551 9248 12072 13872 16096 17102 24144 25653 27744 34204 48288 51306 68408 102612 136816 145367 205224 273632 290734 410448 436101 581468 820896 872202 1162936 1744404 2325872 3488808 4651744 6977616 13955232