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117809856 = 263379863
BaseRepresentation
bin1110000010110…
…10001011000000
322012200100202000
413001122023000
5220124403411
615405024000
72630236653
oct701321300
9265610660
10117809856
116055631a
1233555000
131b53b098
141190989a
15a521956
hex705a2c0

117809856 has 112 divisors (see below), whose sum is σ = 351129600. Its totient is φ = 38727936.

The previous prime is 117809821. The next prime is 117809869. The reversal of 117809856 is 658908711.

It is a zygodrome in base 12.

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, 136081 + ... + 136943.

Almost surely, 2117809856 is an apocalyptic number.

117809856 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 117809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

117809856 is an abundant number, since it is smaller than the sum of its proper divisors (233319744).

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

117809856 is an equidigital number, since it uses as much as digits as its factorization.

117809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 117809856 is about 10854.0248755934. The cubic root of 117809856 is about 490.2232163617.

The spelling of 117809856 in words is "one hundred seventeen million, eight hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 863 864 948 1264 1422 1726 1728 1896 2133 2528 2589 2844 3452 3792 4266 5056 5178 5688 6904 7584 7767 8532 10356 11376 13808 15168 15534 17064 20712 22752 23301 27616 31068 34128 41424 45504 46602 55232 62136 68177 68256 82848 93204 124272 136354 136512 165696 186408 204531 248544 272708 372816 409062 497088 545416 613593 745632 818124 1090832 1227186 1491264 1636248 1840779 2181664 2454372 3272496 3681558 4363328 4908744 6544992 7363116 9817488 13089984 14726232 19634976 29452464 39269952 58904928 117809856