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113642032 = 2473171461
BaseRepresentation
bin1101100011000…
…00101000110000
321220211121120011
412301200220300
5213043021112
615135424304
72546640610
oct661405060
9256747504
10113642032
1159169a39
1232085094
131a70c00a
1411142a40
159e9baa7
hex6c60a30

113642032 has 80 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 46368000.

The previous prime is 113642027. The next prime is 113642033. The reversal of 113642032 is 230246311.

It is a super-2 number, since 2×1136420322 = 25829022874178048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113641994 and 113642012.

It is not an unprimeable number, because it can be changed into a prime (113642033) 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, 246282 + ... + 246742.

Almost surely, 2113642032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

113642032 is an abundant number, since it is smaller than the sum of its proper divisors (150341072).

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

113642032 is a wasteful number, since it uses less digits than its factorization.

113642032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 113642032 is about 10660.3016842864. The cubic root of 113642032 is about 484.3727065698.

Adding to 113642032 its reverse (230246311), we get a palindrome (343888343).

The spelling of 113642032 in words is "one hundred thirteen million, six hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 71 112 124 142 217 248 284 434 461 496 497 568 868 922 994 1136 1736 1844 1988 2201 3227 3472 3688 3976 4402 6454 7376 7952 8804 12908 14291 15407 17608 25816 28582 30814 32731 35216 51632 57164 61628 65462 100037 114328 123256 130924 200074 228656 229117 246512 261848 400148 458234 523696 800296 916468 1014661 1600592 1832936 2029322 3665872 4058644 7102627 8117288 14205254 16234576 28410508 56821016 113642032