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113799168 = 2123473
BaseRepresentation
bin1101100100001…
…11000000000000
321221010121010000
412302013000000
5213113033133
615143040000
72551164000
oct662070000
9257117100
10113799168
1159266aaa
1232140000
131a7656b2
1411184000
159ecd413
hex6c87000

113799168 has 260 divisors, whose sum is σ = 396444400. Its totient is φ = 32514048.

The previous prime is 113799167. The next prime is 113799209. The reversal of 113799168 is 861997311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=336.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (81648) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113799163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16257021 + ... + 16257027.

Almost surely, 2113799168 is an apocalyptic number.

113799168 is a gapful number since it is divisible by the number (18) 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 113799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198222200).

113799168 is an abundant number, since it is smaller than the sum of its proper divisors (282645232).

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

113799168 is an frugal number, since it uses more digits than its factorization.

113799168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 113799168 is about 10667.6692862124. The cubic root of 113799168 is about 484.5958556233.

Multiplying 113799168 by its product of digits (81648), we get a square (9291474468864 = 30481922).

The spelling of 113799168 in words is "one hundred thirteen million, seven hundred ninety-nine thousand, one hundred sixty-eight".