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135436728 = 23372927799
BaseRepresentation
bin10000001001010…
…01100110111000
3100102211220021010
420010221212320
5234132433403
621234513520
73233123160
oct1004514670
9312756233
10135436728
116a4a5689
12394358a0
13220a029b
1413db75a0
15bd54603
hex81299b8

135436728 has 64 divisors (see below), whose sum is σ = 400320000. Its totient is φ = 37360512.

The previous prime is 135436727. The next prime is 135436733. The reversal of 135436728 is 827634531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135436727) by changing a digit.

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, 9028 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (6255000).

Almost surely, 2135436728 is an apocalyptic number.

It is an amenable number.

135436728 is an abundant number, since it is smaller than the sum of its proper divisors (264883272).

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

135436728 is a wasteful number, since it uses less digits than its factorization.

135436728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 27840 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 135436728 is about 11637.7286443704. The cubic root of 135436728 is about 513.5453695739.

The spelling of 135436728 in words is "one hundred thirty-five million, four hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 27799 55598 83397 111196 166794 194593 222392 333588 389186 583779 667176 778372 806171 1167558 1556744 1612342 2335116 2418513 3224684 4670232 4837026 5643197 6449368 9674052 11286394 16929591 19348104 22572788 33859182 45145576 67718364 135436728