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117589920 = 2535779443
BaseRepresentation
bin1110000001001…
…00011110100000
322012021012001020
413000210132200
5220100334140
615400205440
72625332520
oct700443640
9265235036
10117589920
1160416058
1233469880
131b491c46
141188d680
15a4cb6d0
hex70247a0

117589920 has 192 divisors, whose sum is σ = 429649920. Its totient is φ = 26477568.

The previous prime is 117589909. The next prime is 117589921. The reversal of 117589920 is 29985711.

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 (117589921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265219 + ... + 265661.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2117589920 is an apocalyptic number.

117589920 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 117589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

117589920 is an abundant number, since it is smaller than the sum of its proper divisors (312060000).

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

117589920 is a wasteful number, since it uses less digits than its factorization.

117589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 117589920 is about 10843.8886014197. Note that the first 3 decimals coincide. The cubic root of 117589920 is about 489.9179648866.

The spelling of 117589920 in words is "one hundred seventeen million, five hundred eighty-nine thousand, nine hundred twenty".