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117432960 = 2735311973
BaseRepresentation
bin1101111111111…
…10001010000000
322011222012201220
412333332022000
5220030323320
615352555040
72624110101
oct677761200
9264865656
10117432960
1160319137
12333b2a80
131b438678
141184c3a8
15a499e40
hex6ffe280

117432960 has 128 divisors (see below), whose sum is σ = 386588160. Its totient is φ = 30289920.

The previous prime is 117432943. The next prime is 117432989. The reversal of 117432960 is 69234711.

It is a tau number, because it is divible by the number of its divisors (128).

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, 58534 + ... + 60506.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2117432960 is an apocalyptic number.

117432960 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 117432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193294080).

117432960 is an abundant number, since it is smaller than the sum of its proper divisors (269155200).

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

117432960 is a wasteful number, since it uses less digits than its factorization.

117432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 117432960 is about 10836.6489285203. The cubic root of 117432960 is about 489.6998856395.

The spelling of 117432960 in words is "one hundred seventeen million, four hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1973 1984 2480 2976 3720 3946 3968 4960 5919 5952 7440 7892 9865 9920 11838 11904 14880 15784 19730 19840 23676 29595 29760 31568 39460 47352 59190 59520 61163 63136 78920 94704 118380 122326 126272 157840 183489 189408 236760 244652 252544 305815 315680 366978 378816 473520 489304 611630 631360 733956 757632 917445 947040 978608 1223260 1262720 1467912 1834890 1894080 1957216 2446520 2935824 3669780 3788160 3914432 4893040 5871648 7339560 7828864 9786080 11743296 14679120 19572160 23486592 29358240 39144320 58716480 117432960