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113132880 = 24325722447
BaseRepresentation
bin1101011111001…
…00010101010000
321212212202010200
412233210111100
5212430223010
615120455200
72542420320
oct657442520
9255782120
10113132880
1158951453
1231a7a500
131a591343
141104d280
159deacc0
hex6be4550

113132880 has 120 divisors (see below), whose sum is σ = 434234112. Its totient is φ = 25857792.

The previous prime is 113132879. The next prime is 113132881. The reversal of 113132880 is 88231311.

It is an interprime number because it is at equal distance from previous prime (113132879) and next prime (113132881).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113132881) by changing a digit.

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, 6184 + ... + 16263.

Almost surely, 2113132880 is an apocalyptic number.

113132880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113132880 is an abundant number, since it is smaller than the sum of its proper divisors (321101232).

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

113132880 is a wasteful number, since it uses less digits than its factorization.

113132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22473 (or 22464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113132880 is about 10636.3941258304. The cubic root of 113132880 is about 483.6482429239.

The spelling of 113132880 in words is "one hundred thirteen million, one hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 22447 44894 67341 89788 112235 134682 157129 179576 202023 224470 269364 314258 336705 359152 404046 448940 471387 538728 628516 673410 785645 808092 897880 942774 1010115 1077456 1257032 1346820 1414161 1571290 1616184 1795760 1885548 2020230 2356935 2514064 2693640 2828322 3142580 3232368 3771096 4040460 4713870 5387280 5656644 6285160 7070805 7542192 8080920 9427740 11313288 12570320 14141610 16161840 18855480 22626576 28283220 37710960 56566440 113132880