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113555904 = 2637117681
BaseRepresentation
bin1101100010010…
…11100111000000
321220200020102020
412301023213000
5213032242104
615133521440
72546131530
oct661134700
9256606366
10113555904
1159110260
1232043280
131a6aba57
141111d4c0
159e812d9
hex6c4b9c0

113555904 has 112 divisors (see below), whose sum is σ = 374635776. Its totient is φ = 29491200.

The previous prime is 113555881. The next prime is 113555917. The reversal of 113555904 is 409555311.

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 (33).

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, 10944 + ... + 18624.

Almost surely, 2113555904 is an apocalyptic number.

113555904 is a gapful number since it is divisible by the number (14) 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 113555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187317888).

113555904 is an abundant number, since it is smaller than the sum of its proper divisors (261079872).

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

113555904 is a wasteful number, since it uses less digits than its factorization.

113555904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 113555904 is about 10656.2612580586. The cubic root of 113555904 is about 484.2503087932.

The spelling of 113555904 in words is "one hundred thirteen million, five hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 7681 14784 15362 23043 30724 46086 53767 61448 84491 92172 107534 122896 161301 168982 184344 215068 245792 253473 322602 337964 368688 430136 491584 506946 591437 645204 675928 737376 860272 1013892 1182874 1290408 1351856 1474752 1720544 1774311 2027784 2365748 2580816 2703712 3441088 3548622 4055568 4731496 5161632 5407424 7097244 8111136 9462992 10323264 14194488 16222272 18925984 28388976 37851968 56777952 113555904