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117712896 = 2113721723
BaseRepresentation
bin1110000010000…
…10100000000000
322012111102201220
413001002200000
5220113303041
615402555040
72626354200
oct701024000
9265442656
10117712896
116049a494
1233508a80
131b505c02
14118c2400
15a502d66
hex7042800

117712896 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 30277632.

The previous prime is 117712877. The next prime is 117712897. The reversal of 117712896 is 698217711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (117712897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117941 + ... + 5117963.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2117712896 is an apocalyptic number.

117712896 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 117712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

117712896 is an abundant number, since it is smaller than the sum of its proper divisors (285628224).

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

117712896 is a wasteful number, since it uses less digits than its factorization.

117712896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 42336, while the sum is 42.

The square root of 117712896 is about 10849.5574103279. The cubic root of 117712896 is about 490.0886914286.

The spelling of 117712896 in words is "one hundred seventeen million, seven hundred twelve thousand, eight hundred ninety-six".