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113927040 = 2733519347
BaseRepresentation
bin1101100101001…
…10001110000000
321221101002112000
412302212032000
5213131131130
615145504000
72552235543
oct662461600
9257332460
10113927040
1159344087
12321a2000
131a7ab966
14111b885a
15a006260
hex6ca6380

113927040 has 256 divisors, whose sum is σ = 425952000. Its totient is φ = 28698624.

The previous prime is 113927017. The next prime is 113927087. The reversal of 113927040 is 40729311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113926995 and 113927013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328147 + ... + 328493.

It is an arithmetic number, because the mean of its divisors is an integer number (1663875).

Almost surely, 2113927040 is an apocalyptic number.

113927040 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 113927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212976000).

113927040 is an abundant number, since it is smaller than the sum of its proper divisors (312024960).

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

113927040 is a wasteful number, since it uses less digits than its factorization.

113927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 113927040 is about 10673.6610401493. The cubic root of 113927040 is about 484.7772952802. Note that the first 3 decimals are identical.

The spelling of 113927040 in words is "one hundred thirteen million, nine hundred twenty-seven thousand, forty".