Search a number
-
+
115142508 = 2232131923563
BaseRepresentation
bin1101101110011…
…10111101101100
322000122211211100
412313032331230
5213434030013
615231523100
72565460305
oct667167554
9260584740
10115142508
1159aa42a8
1232689490
131ab15c80
14114137ac
15a196473
hex6dcef6c

115142508 has 144 divisors (see below), whose sum is σ = 344897280. Its totient is φ = 32047488.

The previous prime is 115142501. The next prime is 115142509. The reversal of 115142508 is 805241511.

115142508 is a `hidden beast` number, since 1 + 15 + 142 + 508 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115142501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204235 + ... + 204797.

It is an arithmetic number, because the mean of its divisors is an integer number (2395120).

Almost surely, 2115142508 is an apocalyptic number.

115142508 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 115142508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172448640).

115142508 is an abundant number, since it is smaller than the sum of its proper divisors (229754772).

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

115142508 is a wasteful number, since it uses less digits than its factorization.

115142508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115142508 is about 10730.4477073419. The cubic root of 115142508 is about 486.4952022052.

The spelling of 115142508 in words is "one hundred fifteen million, one hundred forty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 69 76 78 92 114 117 138 156 171 207 228 234 247 276 299 342 414 437 468 494 563 598 684 741 828 874 897 988 1126 1196 1311 1482 1689 1748 1794 2223 2252 2622 2691 2964 3378 3588 3933 4446 5067 5244 5382 5681 6756 7319 7866 8892 10134 10697 10764 11362 12949 14638 15732 17043 20268 21394 21957 22724 25898 29276 32091 34086 38847 42788 43914 51129 51796 64182 65871 68172 77694 87828 96273 102258 116541 128364 131742 139061 155388 168337 192546 204516 233082 246031 263484 278122 336674 385092 417183 466164 492062 505011 556244 673348 738093 834366 984124 1010022 1251549 1476186 1515033 1668732 2020044 2214279 2503098 2952372 3030066 3198403 4428558 5006196 6060132 6396806 8857116 9595209 12793612 19190418 28785627 38380836 57571254 115142508