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13064144 = 243126339
BaseRepresentation
bin110001110101…
…011111010000
3220120201122012
4301311133100
511321023034
61144002052
7216020612
oct61653720
926521565
1013064144
117413315
124460328
132925482
141a40db2
151230cce
hexc757d0

13064144 has 20 divisors (see below), whose sum is σ = 26129280. Its totient is φ = 6321120.

The previous prime is 13064141. The next prime is 13064159. The reversal of 13064144 is 44146031.

13064144 is nontrivially palindromic in base 7.

13064144 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12674 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (1306464).

Almost surely, 213064144 is an apocalyptic number.

It is an amenable number.

13064144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13064144 is a wasteful number, since it uses less digits than its factorization.

13064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26378 (or 26372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 13064144 is about 3614.4355022603. The cubic root of 13064144 is about 235.5195626875.

The spelling of 13064144 in words is "thirteen million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 26339 52678 105356 210712 421424 816509 1633018 3266036 6532072 13064144