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117717120 = 27325107191
BaseRepresentation
bin1110000010000…
…11100010000000
322012111122112100
413001003202000
5220113421440
615403030400
72626402413
oct701034200
9265448470
10117717120
11604a2684
123350b400
131b507b01
14118c3b7a
15a504230
hex7043880

117717120 has 192 divisors, whose sum is σ = 412439040. Its totient is φ = 30935040.

The previous prime is 117717097. The next prime is 117717139. The reversal of 117717120 is 21717711.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616225 + ... + 616415.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2117717120 is an apocalyptic number.

117717120 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 117717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

117717120 is an abundant number, since it is smaller than the sum of its proper divisors (294721920).

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

117717120 is a wasteful number, since it uses less digits than its factorization.

117717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 117717120 is about 10849.7520709001. The cubic root of 117717120 is about 490.0945534594.

The spelling of 117717120 in words is "one hundred seventeen million, seven hundred seventeen thousand, one hundred twenty".