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13000653 = 323739041
BaseRepresentation
bin110001100101…
…111111001101
3220110111112200
4301211333031
511312010103
61142352113
7215334531
oct61457715
926414480
1013000653
11737a646
12442b639
1329025c3
141a25bc1
15121c0a3
hexc65fcd

13000653 has 12 divisors (see below), whose sum is σ = 19286748. Its totient is φ = 8432640.

The previous prime is 13000651. The next prime is 13000657. The reversal of 13000653 is 35600031.

13000653 is a `hidden beast` number, since 13 + 0 + 0 + 0 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11923209 + 1077444 = 3453^2 + 1038^2 .

It is not a de Polignac number, because 13000653 - 21 = 13000651 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19188 + ... + 19853.

It is an arithmetic number, because the mean of its divisors is an integer number (1607229).

Almost surely, 213000653 is an apocalyptic number.

It is an amenable number.

13000653 is a deficient number, since it is larger than the sum of its proper divisors (6286095).

13000653 is a wasteful number, since it uses less digits than its factorization.

13000653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39084 (or 39081 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13000653 is about 3605.6418291339. The cubic root of 13000653 is about 235.1374056845.

Adding to 13000653 its reverse (35600031), we get a palindrome (48600684).

The spelling of 13000653 in words is "thirteen million, six hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 39041 117123 351369 1444517 4333551 13000653