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117295360 = 2857131953
BaseRepresentation
bin1101111110111…
…00100100000000
322011201012222121
412333130210000
5220011422420
615350014024
72622664660
oct677344400
9264635877
10117295360
1160234816
1233347314
131b3bab50
14118141a0
15a46e2aa
hex6fdc900

117295360 has 288 divisors, whose sum is σ = 370863360. Its totient is φ = 34504704.

The previous prime is 117295313. The next prime is 117295361. The reversal of 117295360 is 63592711.

It is not an unprimeable number, because it can be changed into a prime (117295361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2213094 + ... + 2213146.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2117295360 is an apocalyptic number.

117295360 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 117295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

117295360 is an abundant number, since it is smaller than the sum of its proper divisors (253568000).

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

117295360 is a wasteful number, since it uses less digits than its factorization.

117295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 117295360 is about 10830.2982415075. The cubic root of 117295360 is about 489.5085451517.

The spelling of 117295360 in words is "one hundred seventeen million, two hundred ninety-five thousand, three hundred sixty".