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113115808 = 2513377349
BaseRepresentation
bin1101011111000…
…00001010100000
321212211212201101
412233200022200
5212424201213
615120244144
72542316461
oct657401240
9255755641
10113115808
115893a643
1231a70654
131a586640
1411046d68
159de5bdd
hex6be02a0

113115808 has 48 divisors (see below), whose sum is σ = 246342600. Its totient is φ = 50789376.

The previous prime is 113115781. The next prime is 113115809. The reversal of 113115808 is 808511311.

It can be written as a sum of positive squares in 4 ways, for example, as 105431824 + 7683984 = 10268^2 + 2772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113115809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11718 + ... + 19066.

Almost surely, 2113115808 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 113115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123171300).

113115808 is an abundant number, since it is smaller than the sum of its proper divisors (133226792).

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

113115808 is a wasteful number, since it uses less digits than its factorization.

113115808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 28.

The square root of 113115808 is about 10635.5915679383. The cubic root of 113115808 is about 483.6239138395.

It can be divided in two parts, 113 and 115808, that added together give a triangular number (115921 = T481).

The spelling of 113115808 in words is "one hundred thirteen million, one hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7349 7696 14698 15392 29396 58792 95537 117584 191074 235168 271913 382148 543826 764296 1087652 1528592 2175304 3057184 3534869 4350608 7069738 8701216 14139476 28278952 56557904 113115808