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113921280 = 28325112931
BaseRepresentation
bin1101100101001…
…00110100000000
321221100210121200
412302210310000
5213130440110
615145421200
72552213004
oct662446400
9257323550
10113921280
115933a820
123219a800
131a7a9155
14111b6704
15a0046c0
hex6ca4d00

113921280 has 432 divisors, whose sum is σ = 459164160. Its totient is φ = 25804800.

The previous prime is 113921257. The next prime is 113921281. The reversal of 113921280 is 82129311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113921281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674865 + ... + 3674895.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2113921280 is an apocalyptic number.

113921280 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 113921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

113921280 is an abundant number, since it is smaller than the sum of its proper divisors (345242880).

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

113921280 is a wasteful number, since it uses less digits than its factorization.

113921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113921280 is about 10673.3912136678. The cubic root of 113921280 is about 484.7691252435.

The spelling of 113921280 in words is "one hundred thirteen million, nine hundred twenty-one thousand, two hundred eighty".