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135065304 = 233211170537
BaseRepresentation
bin10000000110011…
…10111011011000
3100102011000202200
420003032323120
5234034042204
621222530200
73230015253
oct1003167330
9312130680
10135065304
116a271620
1239296960
1321ca01ca
1413d1c09a
15bcce539
hex80ceed8

135065304 has 48 divisors (see below), whose sum is σ = 399058920. Its totient is φ = 40928640.

The previous prime is 135065303. The next prime is 135065309. The reversal of 135065304 is 403560531.

135065304 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 653 + 0 + 4 = 666.

It is a super-2 number, since 2×1350653042 = 36485272689224832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135065303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84477 + ... + 86060.

Almost surely, 2135065304 is an apocalyptic number.

It is an amenable number.

135065304 is an abundant number, since it is smaller than the sum of its proper divisors (263993616).

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

135065304 is a wasteful number, since it uses less digits than its factorization.

135065304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170560 (or 170553 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135065304 is about 11621.7599355691. The cubic root of 135065304 is about 513.0754879054.

The spelling of 135065304 in words is "one hundred thirty-five million, sixty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 170537 341074 511611 682148 1023222 1364296 1534833 1875907 2046444 3069666 3751814 4092888 5627721 6139332 7503628 11255442 12278664 15007256 16883163 22510884 33766326 45021768 67532652 135065304