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113128960 = 295759107
BaseRepresentation
bin1101011111000…
…11011000000000
321212212112202111
412233203120000
5212430111320
615120425104
72542403020
oct657433000
9255775674
10113128960
115894950a
1231a78194
131a58c619
141104ba80
159de9a5a
hex6be3600

113128960 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 37773312.

The previous prime is 113128921. The next prime is 113128987. The reversal of 113128960 is 69821311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 1057227 + ... + 1057333.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2113128960 is an apocalyptic number.

113128960 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 113128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

113128960 is an abundant number, since it is smaller than the sum of its proper divisors (205064960).

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

113128960 is an equidigital number, since it uses as much as digits as its factorization.

113128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 113128960 is about 10636.2098512581. The cubic root of 113128960 is about 483.6426567995.

The spelling of 113128960 in words is "one hundred thirteen million, one hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 107 112 118 128 140 160 214 224 236 256 280 295 320 413 428 448 472 512 535 560 590 640 749 826 856 896 944 1070 1120 1180 1280 1498 1652 1712 1792 1888 2065 2140 2240 2360 2560 2996 3304 3424 3584 3745 3776 4130 4280 4480 4720 5992 6313 6608 6848 7490 7552 8260 8560 8960 9440 11984 12626 13216 13696 14980 15104 16520 17120 17920 18880 23968 25252 26432 27392 29960 30208 31565 33040 34240 37760 44191 47936 50504 52864 54784 59920 63130 66080 68480 75520 88382 95872 101008 105728 119840 126260 132160 136960 151040 176764 191744 202016 211456 220955 239680 252520 264320 273920 353528 383488 404032 441910 479360 505040 528640 707056 808064 883820 958720 1010080 1057280 1414112 1616128 1767640 1917440 2020160 2828224 3232256 3535280 4040320 5656448 7070560 8080640 11312896 14141120 16161280 22625792 28282240 56564480 113128960