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113325732 = 223213463523
BaseRepresentation
bin1101100000100…
…11011010100100
321220020112200100
412300103122210
5213002410412
615124544100
72544152502
oct660233244
9256215610
10113325732
1158a73333
1231b52030
131a62b060
141109d672
159e37edc
hex6c136a4

113325732 has 72 divisors (see below), whose sum is σ = 309755264. Its totient is φ = 34727616.

The previous prime is 113325721. The next prime is 113325767. The reversal of 113325732 is 237523311.

It is a super-3 number, since 3×1133257323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113325696 and 113325705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216423 + ... + 216945.

Almost surely, 2113325732 is an apocalyptic number.

113325732 is a gapful number since it is divisible by the number (12) 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 113325732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154877632).

113325732 is an abundant number, since it is smaller than the sum of its proper divisors (196429532).

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

113325732 is a wasteful number, since it uses less digits than its factorization.

113325732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 113325732 is about 10645.4559319928. The cubic root of 113325732 is about 483.9229039599.

The spelling of 113325732 in words is "one hundred thirteen million, three hundred twenty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 463 468 523 926 1046 1389 1569 1852 2092 2778 3138 4167 4707 5556 6019 6276 6799 8334 9414 12038 13598 16668 18057 18828 20397 24076 27196 36114 40794 54171 61191 72228 81588 108342 122382 216684 242149 244764 484298 726447 968596 1452894 2179341 2905788 3147937 4358682 6295874 8717364 9443811 12591748 18887622 28331433 37775244 56662866 113325732