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113384856 = 233131931617
BaseRepresentation
bin1101100001000…
…01110110011000
321220100112210010
412300201312120
5213011303411
615130121520
72544520044
oct660416630
9256315703
10113384856
11590037a2
1231b802a0
131a64bc40
14110b7024
159e4a7a6
hex6c21d98

113384856 has 128 divisors (see below), whose sum is σ = 332236800. Its totient is φ = 31933440.

The previous prime is 113384833. The next prime is 113384857. The reversal of 113384856 is 658483311.

It is a super-2 number, since 2×1133848562 = 25712251140281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113384857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183460 + ... + 184076.

It is an arithmetic number, because the mean of its divisors is an integer number (2595600).

Almost surely, 2113384856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113384856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166118400).

113384856 is an abundant number, since it is smaller than the sum of its proper divisors (218851944).

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

113384856 is a wasteful number, since it uses less digits than its factorization.

113384856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 113384856 is about 10648.2325293919. The cubic root of 113384856 is about 484.0070463196.

The spelling of 113384856 in words is "one hundred thirteen million, three hundred eighty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 456 494 589 617 741 744 806 988 1178 1209 1234 1482 1612 1767 1851 1976 2356 2418 2468 2964 3224 3534 3702 4712 4836 4936 5928 7068 7404 7657 8021 9672 11723 14136 14808 15314 16042 19127 22971 23446 24063 30628 32084 35169 38254 45942 46892 48126 57381 61256 64168 70338 76508 91884 93784 96252 114762 140676 152399 153016 183768 192504 229524 248651 281352 304798 363413 457197 459048 497302 609596 726826 745953 914394 994604 1090239 1219192 1453652 1491906 1828788 1989208 2180478 2907304 2983812 3657576 4360956 4724369 5967624 8721912 9448738 14173107 18897476 28346214 37794952 56692428 113384856