Search a number
-
+
115053588 = 223313192227
BaseRepresentation
bin1101101101110…
…01010000010100
322000111022212000
412312321100110
5213423203323
615225555300
72564640126
oct666712024
9260438760
10115053588
1159a43511
1232645b30
131aab4660
14113cd216
15a179e43
hex6db9414

115053588 has 144 divisors (see below), whose sum is σ = 340522560. Its totient is φ = 33390144.

The previous prime is 115053581. The next prime is 115053611. The reversal of 115053588 is 885350511.

115053588 is a `hidden beast` number, since 115 + 0 + 535 + 8 + 8 = 666.

It is a super-2 number, since 2×1150535882 = 26474656223347488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115053581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506731 + ... + 506957.

It is an arithmetic number, because the mean of its divisors is an integer number (2364740).

Almost surely, 2115053588 is an apocalyptic number.

115053588 is a gapful number since it is divisible by the number (18) 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 115053588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170261280).

115053588 is an abundant number, since it is smaller than the sum of its proper divisors (225468972).

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

115053588 is a wasteful number, since it uses less digits than its factorization.

115053588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 115053588 is about 10726.3035571440. The cubic root of 115053588 is about 486.3699362929.

The spelling of 115053588 in words is "one hundred fifteen million, fifty-three thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 227 228 234 247 342 351 361 454 468 494 513 681 684 702 722 741 908 988 1026 1083 1362 1404 1444 1482 2043 2052 2166 2223 2724 2951 2964 3249 4086 4313 4332 4446 4693 5902 6129 6498 6669 8172 8626 8853 8892 9386 9747 11804 12258 12939 12996 13338 14079 17252 17706 18772 19494 24516 25878 26559 26676 28158 35412 38817 38988 42237 51756 53118 56069 56316 77634 79677 81947 84474 106236 112138 116451 126711 155268 159354 163894 168207 168948 224276 232902 245841 253422 318708 327788 336414 465804 491682 504621 506844 672828 737523 983364 1009242 1065311 1475046 1513863 2018484 2130622 2212569 2950092 3027726 3195933 4261244 4425138 6055452 6391866 8850276 9587799 12783732 19175598 28763397 38351196 57526794 115053588