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136561580 = 22523292353
BaseRepresentation
bin10000010001111…
…00001110101100
3100111222001021022
420020330032230
5234424432310
621314553312
73245516501
oct1010741654
9314861238
10136561580
11700a3811
1239898838
13223a528c
14141cb4a8
15bec7a55
hex823c3ac

136561580 has 72 divisors (see below), whose sum is σ = 310800672. Its totient is φ = 50305024.

The previous prime is 136561559. The next prime is 136561591. The reversal of 136561580 is 85165631.

136561580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 136561580.

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, 386684 + ... + 387036.

It is an arithmetic number, because the mean of its divisors is an integer number (4316676).

Almost surely, 2136561580 is an apocalyptic number.

136561580 is a gapful number since it is divisible by the number (10) 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 136561580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155400336).

136561580 is an abundant number, since it is smaller than the sum of its proper divisors (174239092).

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

136561580 is a wasteful number, since it uses less digits than its factorization.

136561580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 136561580 is about 11685.9565290994. The cubic root of 136561580 is about 514.9631795713.

The spelling of 136561580 in words is "one hundred thirty-six million, five hundred sixty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 353 460 580 667 706 841 1334 1412 1682 1765 2668 3335 3364 3530 4205 6670 7060 8119 8410 10237 13340 16238 16820 19343 20474 32476 38686 40595 40948 51185 77372 81190 96715 102370 162380 193430 204740 235451 296873 386860 470902 593746 941804 1177255 1187492 1484365 2354510 2968730 4709020 5937460 6828079 13656158 27312316 34140395 68280790 136561580