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113533952 = 210747337
BaseRepresentation
bin1101100010001…
…10010000000000
321220122010022012
412301012100000
5213031041302
615133232052
72546010530
oct661062000
9256563265
10113533952
11590a5814
1232032628
131a6a1a6c
14111154c0
159e79a52
hex6c46400

113533952 has 88 divisors (see below), whose sum is σ = 265684224. Its totient is φ = 47480832.

The previous prime is 113533943. The next prime is 113533963. The reversal of 113533952 is 259335311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336728 + ... + 337064.

Almost surely, 2113533952 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 113533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132842112).

113533952 is an abundant number, since it is smaller than the sum of its proper divisors (152150272).

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

113533952 is an equidigital number, since it uses as much as digits as its factorization.

113533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its digits is 12150, while the sum is 32.

The square root of 113533952 is about 10655.2312034981. The cubic root of 113533952 is about 484.2191025841.

The spelling of 113533952 in words is "one hundred thirteen million, five hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 337 376 448 512 658 674 752 896 1024 1316 1348 1504 1792 2359 2632 2696 3008 3584 4718 5264 5392 6016 7168 9436 10528 10784 12032 15839 18872 21056 21568 24064 31678 37744 42112 43136 48128 63356 75488 84224 86272 110873 126712 150976 168448 172544 221746 253424 301952 336896 345088 443492 506848 603904 886984 1013696 1207808 1773968 2027392 2415616 3547936 4054784 7095872 8109568 14191744 16219136 28383488 56766976 113533952