Search a number
-
+
117124536 = 23337413217
BaseRepresentation
bin1101111101100…
…10110110111000
322011101112122210
412332302312320
5214440441121
615342215120
72621353644
oct676626670
9264345583
10117124536
1160128441
12332844a0
131b35b179
14117abc24
15a438876
hex6fb2db8

117124536 has 64 divisors (see below), whose sum is σ = 308155680. Its totient is φ = 37048320.

The previous prime is 117124523. The next prime is 117124547. The reversal of 117124536 is 635421711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34800 + ... + 38016.

Almost surely, 2117124536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117124536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154077840).

117124536 is an abundant number, since it is smaller than the sum of its proper divisors (191031144).

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

117124536 is a wasteful number, since it uses less digits than its factorization.

117124536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3300 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 117124536 is about 10822.4089739762. The cubic root of 117124536 is about 489.2707965199.

The spelling of 117124536 in words is "one hundred seventeen million, one hundred twenty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 3034 3217 4551 6068 6434 9102 9651 12136 12868 18204 19302 25736 36408 38604 77208 119029 131897 238058 263794 357087 395691 476116 527588 714174 791382 952232 1055176 1428348 1582764 2856696 3165528 4880189 9760378 14640567 19520756 29281134 39041512 58562268 117124536