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113770440 = 233357101149
BaseRepresentation
bin1101100011111…
…11111111001000
321221002010201000
412301333333020
5213111123230
615142255000
72551014150
oct661777710
9257063630
10113770440
1159247463
1232127460
131a7555b4
1411177760
159ec4b60
hex6c7ffc8

113770440 has 256 divisors, whose sum is σ = 440640000. Its totient is φ = 25574400.

The previous prime is 113770387. The next prime is 113770457. The reversal of 113770440 is 44077311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763486 + ... + 763634.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2113770440 is an apocalyptic number.

113770440 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 113770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

113770440 is an abundant number, since it is smaller than the sum of its proper divisors (326869560).

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

113770440 is a wasteful number, since it uses less digits than its factorization.

113770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 113770440 is about 10666.3227027875. The cubic root of 113770440 is about 484.5550743018. Note that the first 3 decimals are identical.

The spelling of 113770440 in words is "one hundred thirteen million, seven hundred seventy thousand, four hundred forty".