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13456625 = 5372133
BaseRepresentation
bin110011010101…
…010011110001
3221022200000112
4303111103301
511421103000
61200231105
7222244100
oct63252361
927280015
1013456625
117661186
12460b495
132a32000
141b04037
1512ac235
hexcd54f1

13456625 has 48 divisors (see below), whose sum is σ = 21162960. Its totient is φ = 8517600.

The previous prime is 13456613. The next prime is 13456631. The reversal of 13456625 is 52665431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 13454224 + 2401 = 3668^2 + 49^2 .

It is not a de Polignac number, because 13456625 - 26 = 13456561 is a prime.

Its product of digits (21600) is a multiple of the sum of its prime divisors (25).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13456591 and 13456600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1035119 + ... + 1035131.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 213456625 is an apocalyptic number.

It is an amenable number.

13456625 is a deficient number, since it is larger than the sum of its proper divisors (7706335).

13456625 is an frugal number, since it uses more digits than its factorization.

13456625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 13456625 is about 3668.3272754758. The cubic root of 13456625 is about 237.8548711515.

It can be divided in two parts, 13456 and 625, that multiplied together give a square (8410000 = 29002).

The spelling of 13456625 in words is "thirteen million, four hundred fifty-six thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 169 175 245 325 455 637 845 875 1183 1225 1625 2197 2275 3185 4225 5915 6125 8281 10985 11375 15379 15925 21125 29575 41405 54925 76895 79625 107653 147875 207025 274625 384475 538265 1035125 1922375 2691325 13456625