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135605652 = 223713124181
BaseRepresentation
bin10000001010100…
…10110110010100
3100110011110222120
420011102312110
5234203340102
621242255540
73234425520
oct1005226624
9313143876
10135605652
116a600596
12394b75b0
132212c140
141401cd80
15bd896bc
hex8152d94

135605652 has 48 divisors (see below), whose sum is σ = 389434752. Its totient is φ = 35763840.

The previous prime is 135605611. The next prime is 135605663. The reversal of 135605652 is 256506531.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60999 + ... + 63182.

It is an arithmetic number, because the mean of its divisors is an integer number (8113224).

Almost surely, 2135605652 is an apocalyptic number.

135605652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135605652 is an abundant number, since it is smaller than the sum of its proper divisors (253829100).

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

135605652 is a wasteful number, since it uses less digits than its factorization.

135605652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124208 (or 124206 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 135605652 is about 11644.9839845317. The cubic root of 135605652 is about 513.7587880406.

The spelling of 135605652 in words is "one hundred thirty-five million, six hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 124181 248362 372543 496724 745086 869267 1490172 1614353 1738534 2607801 3228706 3477068 4843059 5215602 6457412 9686118 10431204 11300471 19372236 22600942 33901413 45201884 67802826 135605652