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13265536 = 27372801
BaseRepresentation
bin110010100110…
…101010000000
3220221221220011
4302212222000
511343444121
61152154304
7220520014
oct62465200
926857804
1013265536
117540659
124538994
13299603b
141a94544
1512707e1
hexca6a80

13265536 has 32 divisors (see below), whose sum is σ = 27151380. Its totient is φ = 6451200.

The previous prime is 13265533. The next prime is 13265561. The reversal of 13265536 is 63556231.

It can be written as a sum of positive squares in 2 ways, for example, as 12559936 + 705600 = 3544^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13265498 and 13265507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13265533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3336 + ... + 6136.

Almost surely, 213265536 is an apocalyptic number.

13265536 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 13265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575690).

13265536 is an abundant number, since it is smaller than the sum of its proper divisors (13885844).

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

13265536 is an equidigital number, since it uses as much as digits as its factorization.

13265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2840 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The square root of 13265536 is about 3642.1883531745. The cubic root of 13265536 is about 236.7236240175.

The spelling of 13265536 in words is "thirteen million, two hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2801 4736 5602 11204 22408 44816 89632 103637 179264 207274 358528 414548 829096 1658192 3316384 6632768 13265536