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13064896 = 261341383
BaseRepresentation
bin110001110101…
…101011000000
3220120202200001
4301311223000
511321034041
61144005344
7216023035
oct61655300
926522601
1013064896
117413939
124460854
132925910
141a4138c
151231131
hexc75ac0

13064896 has 56 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 5867520.

The previous prime is 13064879. The next prime is 13064899. The reversal of 13064896 is 69846031.

It is not an unprimeable number, because it can be changed into a prime (13064899) 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 7 ways as a sum of consecutive naturals, for example, 33921 + ... + 34303.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 213064896 is an apocalyptic number.

13064896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

13064896 is an abundant number, since it is smaller than the sum of its proper divisors (15610688).

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

13064896 is a wasteful number, since it uses less digits than its factorization.

13064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 13064896 is about 3614.5395280727. The cubic root of 13064896 is about 235.5240816036.

The spelling of 13064896 in words is "thirteen million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 383 416 533 656 766 832 1066 1312 1532 2132 2624 3064 4264 4979 6128 8528 9958 12256 15703 17056 19916 24512 31406 34112 39832 62812 79664 125624 159328 204139 251248 318656 408278 502496 816556 1004992 1633112 3266224 6532448 13064896