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117891072 = 213331341
BaseRepresentation
bin1110000011011…
…10000000000000
322012211111011000
413001232000000
5220140003242
615410452000
72631025515
oct701560000
9265744130
10117891072
1160601342
1233594000
131b569040
141192b30c
15a53aa4c
hex706e000

117891072 has 224 divisors, whose sum is σ = 385328160. Its totient is φ = 35389440.

The previous prime is 117891049. The next prime is 117891089. The reversal of 117891072 is 270198711.

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

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, 2875372 + ... + 2875412.

It is an arithmetic number, because the mean of its divisors is an integer number (1720215).

Almost surely, 2117891072 is an apocalyptic number.

117891072 is a gapful number since it is divisible by the number (12) 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 117891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664080).

117891072 is an abundant number, since it is smaller than the sum of its proper divisors (267437088).

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

117891072 is an equidigital number, since it uses as much as digits as its factorization.

117891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 117891072 is about 10857.7655159798. The cubic root of 117891072 is about 490.3358408471.

The spelling of 117891072 in words is "one hundred seventeen million, eight hundred ninety-one thousand, seventy-two".