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113790016 = 262323361
BaseRepresentation
bin1101100100001…
…00110001000000
321221010010120001
412302010301000
5213112240031
615142525344
72551125214
oct662046100
9257103501
10113790016
115926013a
1232136854
131a761492
1411180944
159eca861
hex6c84c40

113790016 has 42 divisors (see below), whose sum is σ = 236116622. Its totient is φ = 54405120.

The previous prime is 113789999. The next prime is 113790023. The reversal of 113790016 is 610097311.

It can be written as a sum of positive squares in only one way, i.e., 106172416 + 7617600 = 10304^2 + 2760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32176 + ... + 35536.

Almost surely, 2113790016 is an apocalyptic number.

113790016 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 113790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118058311).

113790016 is an abundant number, since it is smaller than the sum of its proper divisors (122326606).

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

113790016 is an equidigital number, since it uses as much as digits as its factorization.

113790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 113790016 is about 10667.2403179079. The cubic root of 113790016 is about 484.5828644909.

The spelling of 113790016 in words is "one hundred thirteen million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 3361 4232 6722 8464 13444 16928 26888 33856 53776 77303 107552 154606 215104 309212 618424 1236848 1777969 2473696 3555938 4947392 7111876 14223752 28447504 56895008 113790016