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113426880 = 2635716879
BaseRepresentation
bin1101100001011…
…00000111000000
321220102200102120
412300230013000
5213014130010
615131044240
72545053420
oct660540700
9256380376
10113426880
1159032326
1231ba0680
131a6650c8
14110c8480
159e57e70
hex6c2c1c0

113426880 has 112 divisors (see below), whose sum is σ = 411601920. Its totient is φ = 25924608.

The previous prime is 113426879. The next prime is 113426921. The reversal of 113426880 is 88624311.

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

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, 1720 + ... + 15159.

Almost surely, 2113426880 is an apocalyptic number.

113426880 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 113426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205800960).

113426880 is an abundant number, since it is smaller than the sum of its proper divisors (298175040).

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

113426880 is a wasteful number, since it uses less digits than its factorization.

113426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16906 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 113426880 is about 10650.2056318176. The cubic root of 113426880 is about 484.0668350206.

The spelling of 113426880 in words is "one hundred thirteen million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 16879 33758 50637 67516 84395 101274 118153 135032 168790 202548 236306 253185 270064 337580 354459 405096 472612 506370 540128 590765 675160 708918 810192 945224 1012740 1080256 1181530 1350320 1417836 1620384 1772295 1890448 2025480 2363060 2700640 2835672 3240768 3544590 3780896 4050960 4726120 5401280 5671344 7089180 7561792 8101920 9452240 11342688 14178360 16203840 18904480 22685376 28356720 37808960 56713440 113426880