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136585284 = 223112109863
BaseRepresentation
bin10000010010000…
…10000001000100
3100112000020210020
420021002001010
5234431212114
621315255140
73245645553
oct1011020104
9315006706
10136585284
117010a600
12398aa4b0
13223b2cc4
14141d5d9a
15beceaa9
hex8242044

136585284 has 72 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 40962240.

The previous prime is 136585279. The next prime is 136585297. The reversal of 136585284 is 482585631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157837 + ... + 158699.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2136585284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136585284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

136585284 is an abundant number, since it is smaller than the sum of its proper divisors (217343676).

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

136585284 is a wasteful number, since it uses less digits than its factorization.

136585284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 136585284 is about 11686.9706938967. The cubic root of 136585284 is about 514.9929731658.

The spelling of 136585284 in words is "one hundred thirty-six million, five hundred eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 121 132 218 242 327 363 436 484 654 726 863 1199 1308 1452 1726 2398 2589 3452 3597 4796 5178 7194 9493 10356 13189 14388 18986 26378 28479 37972 39567 52756 56958 79134 94067 104423 113916 158268 188134 208846 282201 313269 376268 417692 564402 626538 1034737 1128804 1253076 2069474 3104211 4138948 6208422 11382107 12416844 22764214 34146321 45528428 68292642 136585284