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113382912 = 29397761
BaseRepresentation
bin1101100001000…
…01011000000000
321220100110010010
412300201120000
5213011223122
615130104520
72544511266
oct660413000
9256313103
10113382912
1159002295
1231b7b140
131a64b0a6
14110b6436
159e49e0c
hex6c21600

113382912 has 80 divisors (see below), whose sum is σ = 305574192. Its totient is φ = 37355520.

The previous prime is 113382901. The next prime is 113382947. The reversal of 113382912 is 219283311.

It is a self number, because there is not a number n which added to its sum of digits gives 113382912.

It is a congruent number.

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, 148612 + ... + 149372.

Almost surely, 2113382912 is an apocalyptic number.

113382912 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 113382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152787096).

113382912 is an abundant number, since it is smaller than the sum of its proper divisors (192191280).

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

113382912 is an frugal number, since it uses more digits than its factorization.

113382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 113382912 is about 10648.1412462458. The cubic root of 113382912 is about 484.0042801798.

The spelling of 113382912 in words is "one hundred thirteen million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 512 582 761 768 776 1164 1522 1536 1552 2283 2328 3044 3104 4566 4656 6088 6208 9132 9312 12176 12416 18264 18624 24352 24832 36528 37248 48704 49664 73056 73817 74496 97408 146112 147634 148992 194816 221451 292224 295268 389632 442902 584448 590536 885804 1168896 1181072 1771608 2362144 3543216 4724288 7086432 9448576 14172864 18897152 28345728 37794304 56691456 113382912