Search a number
-
+
115660116 = 223311137489
BaseRepresentation
bin1101110010011…
…01010101010100
322001122010212000
412321031111110
5214102110431
615250555300
72603044335
oct671152524
9261563760
10115660116
115a318180
1232898b30
131ac67750
141150a28c
15a2499e6
hex6e4d554

115660116 has 96 divisors (see below), whose sum is σ = 352329600. Its totient is φ = 32348160.

The previous prime is 115660109. The next prime is 115660121. The reversal of 115660116 is 611066511.

115660116 is a `hidden beast` number, since 1 + 1 + 56 + 601 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 115660116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11700 + ... + 19188.

It is an arithmetic number, because the mean of its divisors is an integer number (3670100).

Almost surely, 2115660116 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 115660116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176164800).

115660116 is an abundant number, since it is smaller than the sum of its proper divisors (236669484).

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

115660116 is a wasteful number, since it uses less digits than its factorization.

115660116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 115660116 is about 10754.5393206776. The cubic root of 115660116 is about 487.2231042939.

The spelling of 115660116 in words is "one hundred fifteen million, six hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7489 7722 14978 15444 22467 29956 44934 67401 82379 89868 97357 134802 164758 194714 202203 247137 269604 292071 329516 389428 404406 494274 584142 741411 808812 876213 988548 1070927 1168284 1482822 1752426 2141854 2224233 2628639 2965644 3212781 3504852 4283708 4448466 5257278 6425562 8896932 9638343 10514556 12851124 19276686 28915029 38553372 57830058 115660116