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113012928 = 263379343
BaseRepresentation
bin1101011110001…
…11000011000000
321212122122121000
412233013003000
5212412403203
615114132000
72541410520
oct657070300
9255578530
10113012928
115887a316
1231a21000
131a54b872
141101b680
159dc54a3
hex6bc70c0

113012928 has 112 divisors (see below), whose sum is σ = 379740160. Its totient is φ = 32285952.

The previous prime is 113012927. The next prime is 113012929. The reversal of 113012928 is 829210311.

It is an interprime number because it is at equal distance from previous prime (113012927) and next prime (113012929).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113012927) 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, 7425 + ... + 16767.

Almost surely, 2113012928 is an apocalyptic number.

113012928 is a gapful number since it is divisible by the number (18) 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 113012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189870080).

113012928 is an abundant number, since it is smaller than the sum of its proper divisors (266727232).

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

113012928 is an equidigital number, since it uses as much as digits as its factorization.

113012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113012928 is about 10630.7538773127. The cubic root of 113012928 is about 483.4772490451.

The spelling of 113012928 in words is "one hundred thirteen million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 9343 12096 18686 28029 37372 56058 65401 74744 84087 112116 130802 149488 168174 196203 224232 252261 261604 298976 336348 392406 448464 504522 523208 588609 597952 672696 784812 896928 1009044 1046416 1177218 1345392 1569624 1765827 1793856 2018088 2092832 2354436 2690784 3139248 3531654 4036176 4185664 4708872 5381568 6278496 7063308 8072352 9417744 12556992 14126616 16144704 18835488 28253232 37670976 56506464 113012928