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113563136 = 291371619
BaseRepresentation
bin1101100010011…
…01011000000000
321220200121100002
412301031120000
5213033010021
615134015132
72546161601
oct661153000
9256617302
10113563136
1159115735
12320474a8
131a6b212b
1411121da8
159e8350b
hex6c4d600

113563136 has 40 divisors (see below), whose sum is σ = 228701880. Its totient is φ = 56332288.

The previous prime is 113563127. The next prime is 113563147. The reversal of 113563136 is 631365311.

It is a junction number, because it is equal to n+sod(n) for n = 113563099 and 113563108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69335 + ... + 70953.

It is an arithmetic number, because the mean of its divisors is an integer number (5717547).

Almost surely, 2113563136 is an apocalyptic number.

113563136 is a gapful number since it is divisible by the number (16) 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 113563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114350940).

113563136 is an abundant number, since it is smaller than the sum of its proper divisors (115138744).

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

113563136 is an equidigital number, since it uses as much as digits as its factorization.

113563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1758 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 113563136 is about 10656.6005836758. The cubic root of 113563136 is about 484.2605886752.

The spelling of 113563136 in words is "one hundred thirteen million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1096 1619 2192 3238 4384 6476 8768 12952 17536 25904 35072 51808 70144 103616 207232 221803 414464 443606 828928 887212 1774424 3548848 7097696 14195392 28390784 56781568 113563136