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117192960 = 283353391
BaseRepresentation
bin1101111110000…
…11100100000000
322011112000112000
412333003210000
5220000133320
615343504000
72622060303
oct677034400
9264460460
10117192960
1160174895
12332b8000
131b383361
14117c8b3a
15a44dc90
hex6fc3900

117192960 has 144 divisors (see below), whose sum is σ = 415994880. Its totient is φ = 31242240.

The previous prime is 117192923. The next prime is 117192961. The reversal of 117192960 is 69291711.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (117192961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32865 + ... + 36255.

Almost surely, 2117192960 is an apocalyptic number.

117192960 is a gapful number since it is divisible by the number (10) 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 117192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207997440).

117192960 is an abundant number, since it is smaller than the sum of its proper divisors (298801920).

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

117192960 is an equidigital number, since it uses as much as digits as its factorization.

117192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 117192960 is about 10825.5697309657. The cubic root of 117192960 is about 489.3660550911.

The spelling of 117192960 in words is "one hundred seventeen million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3391 3456 3840 4320 5760 6782 6912 8640 10173 11520 13564 16955 17280 20346 27128 30519 33910 34560 40692 50865 54256 61038 67820 81384 91557 101730 108512 122076 135640 152595 162768 183114 203460 217024 244152 271280 305190 325536 366228 406920 434048 457785 488304 542560 610380 651072 732456 813840 868096 915570 976608 1085120 1220760 1302144 1464912 1627680 1831140 1953216 2170240 2441520 2604288 2929824 3255360 3662280 3906432 4340480 4883040 5859648 6510720 7324560 7812864 9766080 11719296 13021440 14649120 19532160 23438592 29298240 39064320 58596480 117192960