Search a number
-
+
136424862 = 23273153659
BaseRepresentation
bin10000010000110…
…10110110011110
3100111201002201200
420020122312132
5234411043422
621312020330
73244410060
oct1010326636
9314632650
10136424862
1170010022
12398316a6
1322357c92
1414193730
15be9c2ac
hex821ad9e

136424862 has 96 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 36953280.

The previous prime is 136424857. The next prime is 136424927. The reversal of 136424862 is 268424631.

136424862 is a `hidden beast` number, since 1 + 3 + 642 + 4 + 8 + 6 + 2 = 666.

It is a super-2 number, since 2×1364248622 = 37223485943438088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 206689 + ... + 207347.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 2136424862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136424862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

136424862 is an abundant number, since it is smaller than the sum of its proper divisors (219404898).

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

136424862 is a wasteful number, since it uses less digits than its factorization.

136424862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 136424862 is about 11680.1053933601. The cubic root of 136424862 is about 514.7912711810.

The spelling of 136424862 in words is "one hundred thirty-six million, four hundred twenty-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 53 62 63 93 106 126 159 186 217 279 318 371 434 477 558 651 659 742 954 1113 1302 1318 1643 1953 1977 2226 3286 3339 3906 3954 4613 4929 5931 6678 9226 9858 11501 11862 13839 14787 20429 23002 27678 29574 34503 34927 40858 41517 61287 69006 69854 83034 103509 104781 122574 143003 183861 207018 209562 244489 286006 314343 367722 429009 488978 628686 733467 858018 1082737 1287027 1466934 2165474 2200401 2574054 3248211 4400802 6496422 7579159 9744633 15158318 19489266 22737477 45474954 68212431 136424862