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135062064 = 24322713461
BaseRepresentation
bin10000000110011…
…10001000110000
3100102010212022200
420003032020300
5234033441224
621222503200
73230002644
oct1003161060
9312125280
10135062064
116a26a145
1239294b00
1321c9b8a7
1413d1ac24
15bccd5c9
hex80ce230

135062064 has 60 divisors (see below), whose sum is σ = 379490592. Its totient is φ = 44841600.

The previous prime is 135062063. The next prime is 135062111. The reversal of 135062064 is 460260531.

135062064 is a `hidden beast` number, since 1 + 35 + 0 + 620 + 6 + 4 = 666.

It is a super-2 number, since 2×1350620642 = 36483522263880192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135062063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37294 + ... + 40754.

Almost surely, 2135062064 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 135062064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189745296).

135062064 is an abundant number, since it is smaller than the sum of its proper divisors (244428528).

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

135062064 is a wasteful number, since it uses less digits than its factorization.

135062064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135062064 is about 11621.6205410433. The cubic root of 135062064 is about 513.0713852532.

The spelling of 135062064 in words is "one hundred thirty-five million, sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 3461 4336 4878 6504 6922 9756 10383 13008 13844 19512 20766 27688 31149 39024 41532 55376 62298 83064 124596 166128 249192 498384 937931 1875862 2813793 3751724 5627586 7503448 8441379 11255172 15006896 16882758 22510344 33765516 45020688 67531032 135062064