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113093760 = 27351323197
BaseRepresentation
bin1101011110110…
…10110010000000
321212210202110210
412233122302000
5212423000020
615115554120
72542165263
oct657326200
9255722423
10113093760
115892501a
1231a5b940
131a5795b0
141103ccda
159dde3e0
hex6bdac80

113093760 has 256 divisors, whose sum is σ = 407151360. Its totient is φ = 26492928.

The previous prime is 113093759. The next prime is 113093777. The reversal of 113093760 is 67390311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 573982 + ... + 574178.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2113093760 is an apocalyptic number.

113093760 is a gapful number since it is divisible by the number (10) 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 113093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

113093760 is an abundant number, since it is smaller than the sum of its proper divisors (294057600).

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

113093760 is a wasteful number, since it uses less digits than its factorization.

113093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 113093760 is about 10634.5549977420. The cubic root of 113093760 is about 483.5924899000.

The spelling of 113093760 in words is "one hundred thirteen million, ninety-three thousand, seven hundred sixty".