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136349064 = 23321893737
BaseRepresentation
bin10000010000010…
…00010110001000
3100111120020202100
420020020112020
5234401132224
621310233400
73243643065
oct1010102610
9314506670
10136349064
116aa69085
12397b5860
132232c627
1414173c6c
15be84ac9
hex8208588

136349064 has 24 divisors (see below), whose sum is σ = 369278910. Its totient is φ = 45449664.

The previous prime is 136349053. The next prime is 136349089. The reversal of 136349064 is 460943631.

136349064 is a `hidden beast` number, since 13 + 634 + 9 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 66292164 = 8370^2 + 8142^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 946797 + ... + 946940.

Almost surely, 2136349064 is an apocalyptic number.

It is an amenable number.

136349064 is an abundant number, since it is smaller than the sum of its proper divisors (232929846).

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

136349064 is a wasteful number, since it uses less digits than its factorization.

136349064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893749 (or 1893742 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136349064 is about 11676.8601944187. The cubic root of 136349064 is about 514.6959137391.

The spelling of 136349064 in words is "one hundred thirty-six million, three hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1893737 3787474 5681211 7574948 11362422 15149896 17043633 22724844 34087266 45449688 68174532 136349064