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117065052 = 223213318069
BaseRepresentation
bin1101111101001…
…00010101011100
322011021112001200
412332210111130
5214432040202
615341035500
72621015346
oct676442534
9264245050
10117065052
1160097785
1233255b90
131b33a080
1411794296
15a425e1c
hex6fa455c

117065052 has 72 divisors (see below), whose sum is σ = 328997760. Its totient is φ = 34853760.

The previous prime is 117065051. The next prime is 117065071. The reversal of 117065052 is 250560711.

117065052 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 650 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117065051) 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, 10474 + ... + 18542.

Almost surely, 2117065052 is an apocalyptic number.

117065052 is a gapful number since it is divisible by the number (12) 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 117065052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164498880).

117065052 is an abundant number, since it is smaller than the sum of its proper divisors (211932708).

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

117065052 is a wasteful number, since it uses less digits than its factorization.

117065052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 117065052 is about 10819.6604382947. The cubic root of 117065052 is about 489.1879538938.

The spelling of 117065052 in words is "one hundred seventeen million, sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 8069 14508 16138 24207 32276 48414 72621 96828 104897 145242 209794 250139 290484 314691 419588 500278 629382 750417 944073 1000556 1258764 1500834 1888146 2251251 3001668 3251807 3776292 4502502 6503614 9005004 9755421 13007228 19510842 29266263 39021684 58532526 117065052