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135205074 = 23231337719
BaseRepresentation
bin10000000111100…
…01000011010010
3100102102010111100
420003301003102
5234103030244
621225525230
73231136614
oct1003610322
9312363440
10135205074
116a357634
1239343816
132201ba04
1413d56db4
15bd0ab69
hex80f10d2

135205074 has 48 divisors (see below), whose sum is σ = 303713280. Its totient is φ = 43424640.

The previous prime is 135205069. The next prime is 135205111. The reversal of 135205074 is 470502531.

It is a happy number.

135205074 is a `hidden beast` number, since 135 + 20 + 507 + 4 = 666.

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, 187687 + ... + 188405.

It is an arithmetic number, because the mean of its divisors is an integer number (6327360).

Almost surely, 2135205074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135205074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856640).

135205074 is an abundant number, since it is smaller than the sum of its proper divisors (168508206).

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

135205074 is a wasteful number, since it uses less digits than its factorization.

135205074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135205074 is about 11627.7716695848. The cubic root of 135205074 is about 513.2524093308.

It can be divided in two parts, 135 and 205074, that added together give a square (205209 = 4532).

The spelling of 135205074 in words is "one hundred thirty-five million, two hundred five thousand, seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 337 558 674 719 1011 1438 2022 2157 3033 4314 6066 6471 10447 12942 20894 22289 31341 44578 62682 66867 94023 133734 188046 200601 242303 401202 484606 726909 1453818 2180727 4361454 7511393 15022786 22534179 45068358 67602537 135205074