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113530896 = 2434175153
BaseRepresentation
bin1101100010001…
…01100000010000
321220121222010000
412301011200100
5213030442041
615133210000
72545665603
oct661054020
9256558100
10113530896
11590a3496
1232030900
131a6a055b
141111433a
159e78bb6
hex6c45810

113530896 has 100 divisors (see below), whose sum is σ = 347987772. Its totient is φ = 35610624.

The previous prime is 113530877. The next prime is 113530933. The reversal of 113530896 is 698035311.

It is a happy number.

113530896 is a `hidden beast` number, since 113 + 530 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 33177600 = 8964^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113530896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19456 + ... + 24608.

Almost surely, 2113530896 is an apocalyptic number.

113530896 is a gapful number since it is divisible by the number (16) 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 113530896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173993886).

113530896 is an abundant number, since it is smaller than the sum of its proper divisors (234456876).

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

113530896 is a wasteful number, since it uses less digits than its factorization.

113530896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113530896 is about 10655.0877987936. The cubic root of 113530896 is about 484.2147579606.

Adding to 113530896 its product of nonzero digits (19440), we get a square (113550336 = 106562).

The spelling of 113530896 in words is "one hundred thirteen million, five hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5153 5508 7344 10306 11016 15459 20612 22032 30918 41224 46377 61836 82448 87601 92754 123672 139131 175202 185508 247344 262803 278262 350404 371016 417393 525606 556524 700808 742032 788409 834786 1051212 1113048 1401616 1576818 1669572 2102424 2226096 2365227 3153636 3339144 4204848 4730454 6307272 6678288 7095681 9460908 12614544 14191362 18921816 28382724 37843632 56765448 113530896