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13963968 = 26338081
BaseRepresentation
bin110101010001…
…001011000000
3222021102222000
4311101023000
512033321333
61215144000
7226456164
oct65211300
928242860
1013963968
117978377
124815000
132b7bc05
141bd6ca4
15135c713
hexd512c0

13963968 has 56 divisors (see below), whose sum is σ = 41056560. Its totient is φ = 4654080.

The previous prime is 13963931. The next prime is 13963973. The reversal of 13963968 is 86936931.

13963968 is a `hidden beast` number, since 1 + 3 + 9 + 639 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2313 + ... + 5768.

Almost surely, 213963968 is an apocalyptic number.

13963968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13963968 is an abundant number, since it is smaller than the sum of its proper divisors (27092592).

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

13963968 is an equidigital number, since it uses as much as digits as its factorization.

13963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8086 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13963968 is about 3736.8393061517. The cubic root of 13963968 is about 240.8072815243.

The spelling of 13963968 in words is "thirteen million, nine hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8081 16162 24243 32324 48486 64648 72729 96972 129296 145458 193944 218187 258592 290916 387888 436374 517184 581832 775776 872748 1163664 1551552 1745496 2327328 3490992 4654656 6981984 13963968