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117391680 = 263457647
BaseRepresentation
bin1101111111101…
…00000101000000
322011220010010000
412333310011000
5220023013210
615352040000
72623545540
oct677640500
9264803100
10117391680
11602a011a
1233393000
131b422943
141183b320
15a48cac0
hex6ff4140

117391680 has 280 divisors, whose sum is σ = 477975168. Its totient is φ = 26790912.

The previous prime is 117391669. The next prime is 117391711. The reversal of 117391680 is 86193711.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181117 + ... + 181763.

Almost surely, 2117391680 is an apocalyptic number.

117391680 is a gapful number since it is divisible by the number (10) 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 117391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584).

117391680 is an abundant number, since it is smaller than the sum of its proper divisors (360583488).

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

117391680 is an equidigital number, since it uses as much as digits as its factorization.

117391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 117391680 is about 10834.7441132682. The cubic root of 117391680 is about 489.6424991943.

The spelling of 117391680 in words is "one hundred seventeen million, three hundred ninety-one thousand, six hundred eighty".