Search a number
-
+
136042452 = 2232713131317
BaseRepresentation
bin10000001101111…
…01011111010100
3100110222200011100
420012331133110
5234311324302
621255510100
73241225140
oct1006753724
9313880140
10136042452
116a879787
1239688330
1322252bc0
14140d4220
15be23d1c
hex81bd7d4

136042452 has 144 divisors (see below), whose sum is σ = 427819392. Its totient is φ = 35493120.

The previous prime is 136042441. The next prime is 136042499. The reversal of 136042452 is 254240631.

136042452 is a `hidden beast` number, since 1 + 3 + 604 + 2 + 4 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428998 + ... + 429314.

It is an arithmetic number, because the mean of its divisors is an integer number (2970968).

Almost surely, 2136042452 is an apocalyptic number.

136042452 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 136042452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213909696).

136042452 is an abundant number, since it is smaller than the sum of its proper divisors (291776940).

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

136042452 is a wasteful number, since it uses less digits than its factorization.

136042452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 136042452 is about 11663.7237621610. The cubic root of 136042452 is about 514.3098204309.

The spelling of 136042452 in words is "one hundred thirty-six million, forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 131 156 182 234 252 262 273 317 364 393 468 524 546 634 786 819 917 951 1092 1179 1268 1572 1638 1703 1834 1902 2219 2358 2751 2853 3276 3406 3668 3804 4121 4438 4716 5109 5502 5706 6657 6812 8242 8253 8876 10218 11004 11412 11921 12363 13314 15327 16484 16506 19971 20436 23842 24726 26628 28847 30654 33012 35763 37089 39942 41527 47684 49452 57694 61308 71526 74178 79884 83054 86541 107289 115388 124581 143052 148356 166108 173082 214578 249162 259623 290689 346164 373743 429156 498324 519246 539851 581378 747486 872067 1038492 1079702 1162756 1494972 1619553 1744134 2159404 2616201 3239106 3488268 3778957 4858659 5232402 6478212 7557914 9717318 10464804 11336871 15115828 19434636 22673742 34010613 45347484 68021226 136042452