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BaseRepresentation
bin1101100100011…
…01110000000000
321221012000001000
412302031300000
5213114424231
615143412000
72551340415
oct662156000
9257160030
10113826816
1159285854
1232154000
131a77515c
141119010c
159ed66e6
hex6c8dc00

113826816 has 176 divisors, whose sum is σ = 353721600. Its totient is φ = 36089856.

The previous prime is 113826799. The next prime is 113826829. The reversal of 113826816 is 618628311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635815 + ... + 635993.

Almost surely, 2113826816 is an apocalyptic number.

113826816 is a gapful number since it is divisible by the number (16) 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 113826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176860800).

113826816 is an abundant number, since it is smaller than the sum of its proper divisors (239894784).

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

113826816 is a wasteful number, since it uses less digits than its factorization.

113826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 113826816 is about 10668.9650857054. The cubic root of 113826816 is about 484.6350973317.

The spelling of 113826816 in words is "one hundred thirteen million, eight hundred twenty-six thousand, eight hundred sixteen".