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113516480 = 26571117271
BaseRepresentation
bin1101100010000…
…01111111000000
321220121020100002
412301001333000
5213030011410
615133015132
72545605560
oct661017700
9256536302
10113516480
1159093680
12320244a8
131a696b1c
141110cda0
159e747a5
hex6c41fc0

113516480 has 224 divisors, whose sum is σ = 358152192. Its totient is φ = 33177600.

The previous prime is 113516479. The next prime is 113516483. The reversal of 113516480 is 84615311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113516483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418745 + ... + 419015.

Almost surely, 2113516480 is an apocalyptic number.

113516480 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 113516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179076096).

113516480 is an abundant number, since it is smaller than the sum of its proper divisors (244635712).

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

113516480 is a wasteful number, since it uses less digits than its factorization.

113516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 113516480 is about 10654.4112929810. The cubic root of 113516480 is about 484.1942621141.

The spelling of 113516480 in words is "one hundred thirteen million, five hundred sixteen thousand, four hundred eighty".