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13961088 = 273212119
BaseRepresentation
bin110101010000…
…011110000000
3222021022000100
4311100132000
512033223323
61215122400
7226444611
oct65203600
928238010
1013961088
117976199
124813400
132b7a7cb
141bd5c08
15135b943
hexd50780

13961088 has 48 divisors (see below), whose sum is σ = 40177800. Its totient is φ = 4653312.

The previous prime is 13961083. The next prime is 13961119. The reversal of 13961088 is 88016931.

13961088 is a `hidden beast` number, since 1 + 39 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4908 + ... + 7211.

Almost surely, 213961088 is an apocalyptic number.

13961088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13961088 is an abundant number, since it is smaller than the sum of its proper divisors (26216712).

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

13961088 is a wasteful number, since it uses less digits than its factorization.

13961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12139 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13961088 is about 3736.4539338790. The cubic root of 13961088 is about 240.7907252786.

The spelling of 13961088 in words is "thirteen million, nine hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12119 24238 36357 48476 72714 96952 109071 145428 193904 218142 290856 387808 436284 581712 775616 872568 1163424 1551232 1745136 2326848 3490272 4653696 6980544 13961088