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117716976 = 24351317137
BaseRepresentation
bin1110000010000…
…11011111110000
322012111122100000
413001003133300
5220113420401
615403030000
72626402116
oct701033760
9265448300
10117716976
11604a2563
123350b300
131b507a20
14118c3ab6
15a504186
hex70437f0

117716976 has 240 divisors, whose sum is σ = 392412384. Its totient is φ = 33841152.

The previous prime is 117716957. The next prime is 117716981. The reversal of 117716976 is 679617711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859180 + ... + 859316.

Almost surely, 2117716976 is an apocalyptic number.

117716976 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 117716976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196206192).

117716976 is an abundant number, since it is smaller than the sum of its proper divisors (274695408).

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

117716976 is a wasteful number, since it uses less digits than its factorization.

117716976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 111132, while the sum is 45.

The square root of 117716976 is about 10849.7454348017. The cubic root of 117716976 is about 490.0943536198.

The spelling of 117716976 in words is "one hundred seventeen million, seven hundred sixteen thousand, nine hundred seventy-six".