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13288064 = 27103813
BaseRepresentation
bin110010101100…
…001010000000
3221000002210112
4302230022000
511400204224
61152450452
7220642466
oct62541200
927002715
1013288064
117556579
124549a28
1329a337a
141a9c836
15127730e
hexcac280

13288064 has 16 divisors (see below), whose sum is σ = 26472570. Its totient is φ = 6643968.

The previous prime is 13288063. The next prime is 13288103. The reversal of 13288064 is 46088231.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 270400 = 3608^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13288064.

It is not an unprimeable number, because it can be changed into a prime (13288063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51779 + ... + 52034.

Almost surely, 213288064 is an apocalyptic number.

It is an amenable number.

13288064 is a deficient number, since it is larger than the sum of its proper divisors (13184506).

13288064 is an equidigital number, since it uses as much as digits as its factorization.

13288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103827 (or 103815 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13288064 is about 3645.2796874863. The cubic root of 13288064 is about 236.8575523614.

The spelling of 13288064 in words is "thirteen million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 103813 207626 415252 830504 1661008 3322016 6644032 13288064