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113060640 = 253572111923
BaseRepresentation
bin1101011110100…
…10101100100000
321212202002001010
412233102230200
5212420420030
615115140520
72541666600
oct657225440
9255662033
10113060640
1158902150
1231a44740
131a5674b4
1411030c00
159dd46b0
hex6bd2b20

113060640 has 576 divisors, whose sum is σ = 496419840. Its totient is φ = 21288960.

The previous prime is 113060611. The next prime is 113060671. The reversal of 113060640 is 46060311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 4915669 + ... + 4915691.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2113060640 is an apocalyptic number.

113060640 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 113060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

113060640 is an abundant number, since it is smaller than the sum of its proper divisors (383359200).

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

113060640 is a wasteful number, since it uses less digits than its factorization.

113060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113060640 is about 10632.9976958523. The cubic root of 113060640 is about 483.5452779023.

The spelling of 113060640 in words is "one hundred thirteen million, sixty thousand, six hundred forty".