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117535960 = 235171271361
BaseRepresentation
bin1110000000101…
…11010011011000
322012011110000201
413000113103120
5220042122320
615355111544
72625016303
oct700272330
9265143021
10117535960
1160389563
12334425b4
131b473509
1411877b3a
15a4ba70a
hex70174d8

117535960 has 64 divisors (see below), whose sum is σ = 282424320. Its totient is φ = 43868160.

The previous prime is 117535937. The next prime is 117535993. The reversal of 117535960 is 69535711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85680 + ... + 87040.

It is an arithmetic number, because the mean of its divisors is an integer number (4412880).

Almost surely, 2117535960 is an apocalyptic number.

117535960 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 117535960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141212160).

117535960 is an abundant number, since it is smaller than the sum of its proper divisors (164888360).

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

117535960 is a wasteful number, since it uses less digits than its factorization.

117535960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 117535960 is about 10841.4002785618. The cubic root of 117535960 is about 489.8430151004.

The spelling of 117535960 in words is "one hundred seventeen million, five hundred thirty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 340 508 635 680 1016 1270 1361 2159 2540 2722 4318 5080 5444 6805 8636 10795 10888 13610 17272 21590 23137 27220 43180 46274 54440 86360 92548 115685 172847 185096 231370 345694 462740 691388 864235 925480 1382776 1728470 2938399 3456940 5876798 6913880 11753596 14691995 23507192 29383990 58767980 117535960