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117985440 = 25351719761
BaseRepresentation
bin1110000100001…
…01000010100000
322020000021121010
413002011002200
5220201013230
615412500520
72631600606
oct702050240
9266007533
10117985440
1160666231
123361a740
131b59cc91
1411953876
15a5589b0
hex70850a0

117985440 has 192 divisors, whose sum is σ = 414771840. Its totient is φ = 28016640.

The previous prime is 117985429. The next prime is 117985453. The reversal of 117985440 is 44589711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154660 + ... + 155420.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2117985440 is an apocalyptic number.

117985440 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 117985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

117985440 is an abundant number, since it is smaller than the sum of its proper divisors (296786400).

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

117985440 is a wasteful number, since it uses less digits than its factorization.

117985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 117985440 is about 10862.1102922038. The cubic root of 117985440 is about 490.4666386277.

The spelling of 117985440 in words is "one hundred seventeen million, nine hundred eighty-five thousand, four hundred forty".