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113531040 = 25325721609
BaseRepresentation
bin1101100010001…
…01100010100000
321220121222022100
412301011202200
5213030443130
615133210400
72545666200
oct661054240
9256558270
10113531040
11590a3607
1232030a00
131a6a063c
1411114400
159e78c60
hex6c458a0

113531040 has 216 divisors, whose sum is σ = 450957780. Its totient is φ = 25933824.

The previous prime is 113531039. The next prime is 113531063. The reversal of 113531040 is 40135311.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 6780816 = 10332^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69756 + ... + 71364.

Almost surely, 2113531040 is an apocalyptic number.

113531040 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 113531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225478890).

113531040 is an abundant number, since it is smaller than the sum of its proper divisors (337426740).

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

113531040 is a wasteful number, since it uses less digits than its factorization.

113531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113531040 is about 10655.0945561267. The cubic root of 113531040 is about 484.2149626828.

Adding to 113531040 its reverse (40135311), we get a palindrome (153666351).

The spelling of 113531040 in words is "one hundred thirteen million, five hundred thirty-one thousand, forty".