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113663984 = 24761127131
BaseRepresentation
bin1101100011001…
…01111111110000
321220212201200012
412301211333300
5213044221414
615140114052
72550061610
oct661457760
9256781605
10113663984
1159184485
1232095928
131a718cc5
141114aa40
159ea333e
hex6c65ff0

113663984 has 80 divisors (see below), whose sum is σ = 259792896. Its totient is φ = 47174400.

The previous prime is 113663983. The next prime is 113664017. The reversal of 113663984 is 489366311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113663981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867599 + ... + 867729.

Almost surely, 2113663984 is an apocalyptic number.

113663984 is a gapful number since it is divisible by the number (14) 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 113663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129896448).

113663984 is an abundant number, since it is smaller than the sum of its proper divisors (146128912).

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

113663984 is a wasteful number, since it uses less digits than its factorization.

113663984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 113663984 is about 10661.3312489576. The cubic root of 113663984 is about 484.4038929917.

The spelling of 113663984 in words is "one hundred thirteen million, six hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 127 131 244 254 262 427 488 508 524 854 889 917 976 1016 1048 1708 1778 1834 2032 2096 3416 3556 3668 6832 7112 7336 7747 7991 14224 14672 15494 15982 16637 30988 31964 33274 54229 55937 61976 63928 66548 108458 111874 116459 123952 127856 133096 216916 223748 232918 266192 433832 447496 465836 867664 894992 931672 1014857 1863344 2029714 4059428 7103999 8118856 14207998 16237712 28415996 56831992 113663984