Search a number
-
+
13105625 = 54131613
BaseRepresentation
bin110001111111…
…100111011001
3220122211112112
4301333213121
511323340000
61144522105
7216252551
oct61774731
926584475
1013105625
1174414a5
124480335
13293b310
141a52161
15123d235
hexc7f9d9

13105625 has 20 divisors (see below), whose sum is σ = 17647476. Its totient is φ = 9672000.

The previous prime is 13105619. The next prime is 13105637. The reversal of 13105625 is 52650131.

It can be written as a sum of positive squares in 10 ways, for example, as 11397376 + 1708249 = 3376^2 + 1307^2 .

It is not a de Polignac number, because 13105625 - 216 = 13040089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13105625.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7319 + ... + 8931.

Almost surely, 213105625 is an apocalyptic number.

It is an amenable number.

13105625 is a deficient number, since it is larger than the sum of its proper divisors (4541851).

13105625 is an equidigital number, since it uses as much as digits as its factorization.

13105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 13105625 is about 3620.1691949410. The cubic root of 13105625 is about 235.7685716063.

Adding to 13105625 its reverse (52650131), we get a palindrome (65755756).

The spelling of 13105625 in words is "thirteen million, one hundred five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 625 1613 1625 8065 8125 20969 40325 104845 201625 524225 1008125 2621125 13105625