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117980928 = 2833132101
BaseRepresentation
bin1110000100000…
…11111100000000
322020000001102000
413002003330000
5220200342203
615412424000
72631551502
oct702037400
9266001360
10117980928
11606628aa
1233618000
131b59ac00
1411951d72
15a5574a3
hex7083f00

117980928 has 216 divisors, whose sum is σ = 381533040. Its totient is φ = 35942400.

The previous prime is 117980923. The next prime is 117980957. The reversal of 117980928 is 829089711.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117980923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168078 + ... + 1168178.

Almost surely, 2117980928 is an apocalyptic number.

117980928 is a gapful number since it is divisible by the number (18) 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 117980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190766520).

117980928 is an abundant number, since it is smaller than the sum of its proper divisors (263552112).

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

117980928 is a wasteful number, since it uses less digits than its factorization.

117980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 117980928 is about 10861.9025957702. The cubic root of 117980928 is about 490.4603864051.

The spelling of 117980928 in words is "one hundred seventeen million, nine hundred eighty thousand, nine hundred twenty-eight".