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117665928 = 23321819029
BaseRepresentation
bin1110000001101…
…11000010001000
322012102001022100
413000313002020
5220110302203
615401553400
72626100232
oct700670210
9265361270
10117665928
1160468176
12334a5860
131b4ba713
14118ad252
15a4e3ea3
hex7037088

117665928 has 48 divisors (see below), whose sum is σ = 320474700. Its totient is φ = 39000960.

The previous prime is 117665927. The next prime is 117665939. The reversal of 117665928 is 829566711.

It can be written as a sum of positive squares in 2 ways, for example, as 117548964 + 116964 = 10842^2 + 342^2 .

It is a super-2 number, since 2×1176659282 = 27690541224202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117665927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8518 + ... + 17546.

Almost surely, 2117665928 is an apocalyptic number.

117665928 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 117665928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160237350).

117665928 is an abundant number, since it is smaller than the sum of its proper divisors (202808772).

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

117665928 is a wasteful number, since it uses less digits than its factorization.

117665928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222 (or 9215 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 117665928 is about 10847.3926821149. The cubic root of 117665928 is about 490.0235001918.

The spelling of 117665928 in words is "one hundred seventeen million, six hundred sixty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 9029 13032 18058 27087 36116 54174 72232 81261 108348 162522 216696 325044 650088 1634249 3268498 4902747 6536996 9805494 13073992 14708241 19610988 29416482 39221976 58832964 117665928