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13085496 = 2333292089
BaseRepresentation
bin110001111010…
…101100111000
3220121210221000
4301322230320
511322213441
61144245000
7216140064
oct61725470
926553830
1013085496
117428366
124470760
1329320c8
141a48aa4
1512372b6
hexc7ab38

13085496 has 64 divisors (see below), whose sum is σ = 37620000. Its totient is φ = 4209408.

The previous prime is 13085491. The next prime is 13085507. The reversal of 13085496 is 69458031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13085496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085491) 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 15 ways as a sum of consecutive naturals, for example, 5220 + ... + 7308.

Almost surely, 213085496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13085496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810000).

13085496 is an abundant number, since it is smaller than the sum of its proper divisors (24534504).

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

13085496 is a wasteful number, since it uses less digits than its factorization.

13085496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13085496 is about 3617.3880079416. The cubic root of 13085496 is about 235.6478036830.

The spelling of 13085496 in words is "thirteen million, eighty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 2089 3132 4178 6264 6267 8356 12534 16712 18801 25068 37602 50136 56403 60581 75204 112806 121162 150408 181743 225612 242324 363486 451224 484648 545229 726972 1090458 1453944 1635687 2180916 3271374 4361832 6542748 13085496