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113115744 = 2533759317
BaseRepresentation
bin1101011111000…
…00001001100000
321212211212122000
412233200021200
5212424200434
615120244000
72542316340
oct657401140
9255755560
10113115744
115893a595
1231a70600
131a5865c1
1411046d20
159de5b99
hex6be0260

113115744 has 192 divisors, whose sum is σ = 384652800. Its totient is φ = 31670784.

The previous prime is 113115703. The next prime is 113115767. The reversal of 113115744 is 447511311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 356674 + ... + 356990.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 2113115744 is an apocalyptic number.

113115744 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 113115744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192326400).

113115744 is an abundant number, since it is smaller than the sum of its proper divisors (271537056).

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

113115744 is a wasteful number, since it uses less digits than its factorization.

113115744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 113115744 is about 10635.5885591725. The cubic root of 113115744 is about 483.6238226293.

The spelling of 113115744 in words is "one hundred thirteen million, one hundred fifteen thousand, seven hundred forty-four".