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113931552 = 2537179973
BaseRepresentation
bin1101100101001…
…11010100100000
321221101022201010
412302213110200
5213131302202
615145540520
72552254650
oct662472440
9257338633
10113931552
1159347509
12321a4740
131a7b0a27
14111ba360
15a00776c
hex6ca7520

113931552 has 96 divisors (see below), whose sum is σ = 361936512. Its totient is φ = 30633984.

The previous prime is 113931533. The next prime is 113931563. The reversal of 113931552 is 255139311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1139315522 = 25960797082257408, which contains 22 as substring.

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, 6438 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (3770172).

Almost surely, 2113931552 is an apocalyptic number.

113931552 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 113931552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180968256).

113931552 is an abundant number, since it is smaller than the sum of its proper divisors (248004960).

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

113931552 is a wasteful number, since it uses less digits than its factorization.

113931552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010 (or 10002 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 113931552 is about 10673.8723994622. The cubic root of 113931552 is about 484.7836949499.

The spelling of 113931552 in words is "one hundred thirteen million, nine hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 9973 11424 19946 29919 39892 59838 69811 79784 119676 139622 159568 169541 209433 239352 279244 319136 339082 418866 478704 508623 558488 678164 837732 957408 1017246 1116976 1186787 1356328 1675464 2034492 2233952 2373574 2712656 3350928 3560361 4068984 4747148 5425312 6701856 7120722 8137968 9494296 14241444 16275936 18988592 28482888 37977184 56965776 113931552