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113663016 = 23321924373
BaseRepresentation
bin1101100011001…
…01110000101000
321220212200100100
412301211300220
5213044204031
615140105400
72550056025
oct661456050
9256780310
10113663016
1159183785
1232095260
131a71872c
141114a54c
159ea2de6
hex6c65c28

113663016 has 72 divisors (see below), whose sum is σ = 324966330. Its totient is φ = 35885376.

The previous prime is 113662999. The next prime is 113663027. The reversal of 113663016 is 610366311.

It is a happy number.

113663016 is a `hidden beast` number, since 1 + 13 + 6 + 630 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93896100 + 19766916 = 9690^2 + 4446^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1136630163 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23806 + ... + 28178.

Almost surely, 2113663016 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 113663016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162483165).

113663016 is an abundant number, since it is smaller than the sum of its proper divisors (211303314).

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

113663016 is a wasteful number, since it uses less digits than its factorization.

113663016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113663016 is about 10661.2858511532. The cubic root of 113663016 is about 484.4025178733.

The spelling of 113663016 in words is "one hundred thirteen million, six hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 4373 6498 8664 8746 12996 13119 17492 25992 26238 34984 39357 52476 78714 83087 104952 157428 166174 249261 314856 332348 498522 664696 747783 997044 1495566 1578653 1994088 2991132 3157306 4735959 5982264 6314612 9471918 12629224 14207877 18943836 28415754 37887672 56831508 113663016