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115920960 = 2635177103
BaseRepresentation
bin1101110100011…
…01000001000000
322002010101122220
412322031001000
5214133432320
615300331040
72605211661
oct672150100
9262111586
10115920960
115a486151
12329a3a80
131b0293ac
1411577368
15a29be40
hex6e8d040

115920960 has 112 divisors (see below), whose sum is σ = 389753856. Its totient is φ = 29089792.

The previous prime is 115920953. The next prime is 115920971. The reversal of 115920960 is 69029511.

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, 12769 + ... + 19871.

Almost surely, 2115920960 is an apocalyptic number.

115920960 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 115920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194876928).

115920960 is an abundant number, since it is smaller than the sum of its proper divisors (273832896).

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

115920960 is a wasteful number, since it uses less digits than its factorization.

115920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 115920960 is about 10766.6596491205. The cubic root of 115920960 is about 487.5891013995.

The spelling of 115920960 in words is "one hundred fifteen million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 7103 8160 14206 16320 21309 28412 35515 42618 56824 71030 85236 106545 113648 120751 142060 170472 213090 227296 241502 284120 340944 362253 426180 454592 483004 568240 603755 681888 724506 852360 966008 1136480 1207510 1363776 1449012 1704720 1811265 1932016 2272960 2415020 2898024 3409440 3622530 3864032 4830040 5796048 6818880 7245060 7728064 9660080 11592096 14490120 19320160 23184192 28980240 38640320 57960480 115920960