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117639456 = 25311176553
BaseRepresentation
bin1110000001100…
…00100100100000
322012100200222220
413000300210200
5220103430311
615401231040
72625630114
oct700604440
9265320886
10117639456
116044a2a0
1233492480
131b4ab65c
14118a3744
15a4db206
hex7030920

117639456 has 96 divisors (see below), whose sum is σ = 356747328. Its totient is φ = 33546240.

The previous prime is 117639409. The next prime is 117639479. The reversal of 117639456 is 654936711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14676 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (3716118).

Almost surely, 2117639456 is an apocalyptic number.

117639456 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 117639456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178373664).

117639456 is an abundant number, since it is smaller than the sum of its proper divisors (239107872).

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

117639456 is a wasteful number, since it uses less digits than its factorization.

117639456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6586 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 117639456 is about 10846.1724124227. The cubic root of 117639456 is about 489.9867496070.

The spelling of 117639456 in words is "one hundred seventeen million, six hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 6553 8976 13106 17952 19659 26212 39318 52424 72083 78636 104848 111401 144166 157272 209696 216249 222802 288332 314544 334203 432498 445604 576664 629088 668406 864996 891208 1153328 1225411 1336812 1729992 1782416 2306656 2450822 2673624 3459984 3564832 3676233 4901644 5347248 6919968 7352466 9803288 10694496 14704932 19606576 29409864 39213152 58819728 117639456