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117923560 = 2351721012
BaseRepresentation
bin1110000011101…
…01111011101000
322012220010201021
413001311323220
5220142023220
615411302224
72631222316
oct701657350
9265803637
10117923560
1160623797
12335aa974
131b57aa71
14119390b6
15a5454aa
hex7075ee8

117923560 has 72 divisors (see below), whose sum is σ = 284671890. Its totient is φ = 43955200.

The previous prime is 117923539. The next prime is 117923581. The reversal of 117923560 is 65329711.

It is an interprime number because it is at equal distance from previous prime (117923539) and next prime (117923581).

It can be written as a sum of positive squares in 9 ways, for example, as 102697956 + 15225604 = 10134^2 + 3902^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1167510 + ... + 1167610.

Almost surely, 2117923560 is an apocalyptic number.

117923560 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 117923560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142335945).

117923560 is an abundant number, since it is smaller than the sum of its proper divisors (166748330).

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

117923560 is a wasteful number, since it uses less digits than its factorization.

117923560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 117923560 is about 10859.2614850182. The cubic root of 117923560 is about 490.3808783761.

The spelling of 117923560 in words is "one hundred seventeen million, nine hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 289 340 404 505 578 680 808 1010 1156 1445 1717 2020 2312 2890 3434 4040 5780 6868 8585 10201 11560 13736 17170 20402 29189 34340 40804 51005 58378 68680 81608 102010 116756 145945 173417 204020 233512 291890 346834 408040 583780 693668 867085 1167560 1387336 1734170 2948089 3468340 5896178 6936680 11792356 14740445 23584712 29480890 58961780 117923560