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113426040 = 233571321747
BaseRepresentation
bin1101100001010…
…11111001111000
321220102122021110
412300223321320
5213014113130
615131040320
72545051110
oct660537170
9256378243
10113426040
1159031732
1231ba00a0
131a664900
14110c8040
159e57ab0
hex6c2be78

113426040 has 384 divisors, whose sum is σ = 455362560. Its totient is φ = 22044672.

The previous prime is 113426039. The next prime is 113426059. The reversal of 113426040 is 40624311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113425998 and 113426016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2413297 + ... + 2413343.

It is an arithmetic number, because the mean of its divisors is an integer number (1185840).

Almost surely, 2113426040 is an apocalyptic number.

113426040 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 113426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227681280).

113426040 is an abundant number, since it is smaller than the sum of its proper divisors (341936520).

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

113426040 is a wasteful number, since it uses less digits than its factorization.

113426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 113426040 is about 10650.1661958863. The cubic root of 113426040 is about 484.0656400741.

The spelling of 113426040 in words is "one hundred thirteen million, four hundred twenty-six thousand, forty".