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117040896 = 283374159
BaseRepresentation
bin1101111100111…
…10011100000000
322011020021221000
412332132130000
5214430302041
615340332000
72620555050
oct676363400
9264207830
10117040896
1160080615
1233244000
131b32c08b
1411789560
15a41dbb6
hex6f9e700

117040896 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 32071680.

The previous prime is 117040877. The next prime is 117040909. The reversal of 117040896 is 698040711.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 117040896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983715 + ... + 1983773.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2117040896 is an apocalyptic number.

117040896 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 117040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

117040896 is an abundant number, since it is smaller than the sum of its proper divisors (295029504).

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

117040896 is an equidigital number, since it uses as much as digits as its factorization.

117040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117040896 is about 10818.5440794961. The cubic root of 117040896 is about 489.1543041214.

The spelling of 117040896 in words is "one hundred seventeen million, forty thousand, eight hundred ninety-six".