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113985760 = 255733167
BaseRepresentation
bin1101100101101…
…00100011100000
321221111002001211
412302310203200
5213140021020
615151035504
72552602000
oct662644340
9257432054
10113985760
1159384209
123220bb94
131a7cc5c5
14111d2000
15a01885a
hex6cb48e0

113985760 has 192 divisors, whose sum is σ = 329011200. Its totient is φ = 37255680.

The previous prime is 113985757. The next prime is 113985797. The reversal of 113985760 is 67589311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701247 + ... + 1701313.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2113985760 is an apocalyptic number.

113985760 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 113985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

113985760 is an abundant number, since it is smaller than the sum of its proper divisors (215025440).

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

113985760 is an equidigital number, since it uses as much as digits as its factorization.

113985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 113985760 is about 10676.4113821078. The cubic root of 113985760 is about 484.8605685562.

The spelling of 113985760 in words is "one hundred thirteen million, nine hundred eighty-five thousand, seven hundred sixty".