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113191056 = 243211193761
BaseRepresentation
bin1101011111100…
…10100010010000
321212222200221100
412233302202100
5212434103211
615122024400
72543052036
oct657624220
9255880840
10113191056
1158991130
1231aa8100
131a5b1974
1411066556
159e0d156
hex6bf2890

113191056 has 120 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 32486400.

The previous prime is 113191033. The next prime is 113191061. The reversal of 113191056 is 650191311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28216 + ... + 31976.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2113191056 is an apocalyptic number.

113191056 is a gapful number since it is divisible by the number (16) 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 113191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

113191056 is an abundant number, since it is smaller than the sum of its proper divisors (250669584).

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

113191056 is a wasteful number, since it uses less digits than its factorization.

113191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 113191056 is about 10639.1285357401. The cubic root of 113191056 is about 483.7311304059.

The spelling of 113191056 in words is "one hundred thirteen million, one hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3761 3762 5016 7522 7524 10032 11283 15044 15048 22566 30088 30096 33849 41371 45132 60176 67698 71459 82742 90264 124113 135396 142918 165484 180528 214377 248226 270792 285836 330968 372339 428754 496452 541584 571672 643131 661936 744678 786049 857508 992904 1143344 1286262 1489356 1572098 1715016 1985808 2358147 2572524 2978712 3144196 3430032 4716294 5145048 5957424 6288392 7074441 9432588 10290096 12576784 14148882 18865176 28297764 37730352 56595528 113191056