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113663088 = 24347111767
BaseRepresentation
bin1101100011001…
…01110001110000
321220212200110000
412301211301300
5213044204323
615140110000
72550056160
oct661456160
9256780400
10113663088
1159183840
1232095300
131a718786
141114a5a0
159ea2e43
hex6c65c70

113663088 has 400 divisors, whose sum is σ = 440757504. Its totient is φ = 27371520.

The previous prime is 113663059. The next prime is 113663089. The reversal of 113663088 is 880366311.

113663088 is a `hidden beast` number, since 1 + 13 + 6 + 630 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113663089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1696431 + ... + 1696497.

Almost surely, 2113663088 is an apocalyptic number.

113663088 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 113663088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220378752).

113663088 is an abundant number, since it is smaller than the sum of its proper divisors (327094416).

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

113663088 is a wasteful number, since it uses less digits than its factorization.

113663088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113663088 is about 10661.2892278561. The cubic root of 113663088 is about 484.4026201551.

The spelling of 113663088 in words is "one hundred thirteen million, six hundred sixty-three thousand, eighty-eight".