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113372208 = 243231109233
BaseRepresentation
bin1101100000111…
…10110000110000
321220022220102200
412300132300300
5213010402313
615125543200
72544435135
oct660366060
9256286380
10113372208
1158aa5244
1231b74b00
131a646261
14110b258c
159e46b73
hex6c1ec30

113372208 has 120 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 36080640.

The previous prime is 113372191. The next prime is 113372219. The reversal of 113372208 is 802273311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 486460 + ... + 486692.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2113372208 is an apocalyptic number.

113372208 is a gapful number since it is divisible by the number (18) 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 113372208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

113372208 is an abundant number, since it is smaller than the sum of its proper divisors (218570832).

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

113372208 is a wasteful number, since it uses less digits than its factorization.

113372208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113372208 is about 10647.6386114481. The cubic root of 113372208 is about 483.9890487698.

The spelling of 113372208 in words is "one hundred thirteen million, three hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 109 124 144 186 218 233 248 279 327 372 436 466 496 558 654 699 744 872 932 981 1116 1308 1398 1488 1744 1864 1962 2097 2232 2616 2796 3379 3728 3924 4194 4464 5232 5592 6758 7223 7848 8388 10137 11184 13516 14446 15696 16776 20274 21669 25397 27032 28892 30411 33552 40548 43338 50794 54064 57784 60822 65007 76191 81096 86676 101588 115568 121644 130014 152382 162192 173352 203176 228573 243288 260028 304764 346704 406352 457146 486576 520056 609528 787307 914292 1040112 1219056 1574614 1828584 2361921 3149228 3657168 4723842 6298456 7085763 9447684 12596912 14171526 18895368 28343052 37790736 56686104 113372208