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136052046 = 232131971431
BaseRepresentation
bin10000001101111…
…11110101001110
3100111000011022200
420012333311032
5234312131141
621300022330
73241265124
oct1006776516
9314004280
10136052046
116a885a09
12396919a6
1322257390
14140d7914
15be26ab6
hex81bfd4e

136052046 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 39009600.

The previous prime is 136052041. The next prime is 136052047. The reversal of 136052046 is 640250631.

136052046 is a `hidden beast` number, since 13 + 605 + 2 + 0 + 46 = 666.

It is a super-2 number, since 2×1360520462 = 37020318441572232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136052041) 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, 315451 + ... + 315881.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2136052046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136052046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

136052046 is an abundant number, since it is smaller than the sum of its proper divisors (203603634).

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

136052046 is a wasteful number, since it uses less digits than its factorization.

136052046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 136052046 is about 11664.1350300826. The cubic root of 136052046 is about 514.3219102170.

It can be divided in two parts, 13605 and 2046, that added together give a palindrome (15651).

The spelling of 136052046 in words is "one hundred thirty-six million, fifty-two thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 71 78 114 117 142 171 213 234 247 342 426 431 494 639 741 862 923 1278 1293 1349 1482 1846 2223 2586 2698 2769 3879 4047 4446 5538 5603 7758 8094 8189 8307 11206 12141 16378 16614 16809 17537 24282 24567 30601 33618 35074 49134 50427 52611 61202 73701 91803 100854 105222 106457 147402 157833 183606 212914 275409 315666 319371 397813 550818 581419 638742 795626 958113 1162838 1193439 1744257 1916226 2386878 3488514 3580317 5232771 7160634 7558447 10465542 15116894 22675341 45350682 68026023 136052046