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135638064 = 2434104659
BaseRepresentation
bin10000001010110…
…10110000110000
3100110020010110000
420011122300300
5234210404224
621243110000
73234622152
oct1005326060
9313203400
10135638064
116a622981
1239512300
1322140b13
141402aad2
15bd940c9
hex815ac30

135638064 has 50 divisors (see below), whose sum is σ = 392579660. Its totient is φ = 45212256.

The previous prime is 135638059. The next prime is 135638117. The reversal of 135638064 is 460836531.

135638064 is a `hidden beast` number, since 13 + 5 + 638 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51034 + ... + 53625.

Almost surely, 2135638064 is an apocalyptic number.

It is an amenable number.

135638064 is an abundant number, since it is smaller than the sum of its proper divisors (256941596).

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

135638064 is a wasteful number, since it uses less digits than its factorization.

135638064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104679 (or 104664 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 135638064 is about 11646.3755735422. The cubic root of 135638064 is about 513.7997170704.

The spelling of 135638064 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 104659 209318 313977 418636 627954 837272 941931 1255908 1674544 1883862 2511816 2825793 3767724 5023632 5651586 7535448 8477379 11303172 15070896 16954758 22606344 33909516 45212688 67819032 135638064