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13712405 = 57297577
BaseRepresentation
bin110100010011…
…110000010101
3221210122212212
4310103300111
512002244110
61205523205
7224360600
oct64236025
927718785
1013712405
117816373
124713505
132ac1565
141b6d337
15130ce05
hexd13c15

13712405 has 24 divisors (see below), whose sum is σ = 19372248. Its totient is φ = 9289728.

The previous prime is 13712401. The next prime is 13712407. The reversal of 13712405 is 50421731.

It can be written as a sum of positive squares in 4 ways, for example, as 4986289 + 8726116 = 2233^2 + 2954^2 .

It is not a de Polignac number, because 13712405 - 22 = 13712401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23477 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (807177).

Almost surely, 213712405 is an apocalyptic number.

It is an amenable number.

13712405 is a deficient number, since it is larger than the sum of its proper divisors (5659843).

13712405 is an equidigital number, since it uses as much as digits as its factorization.

13712405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13712405 is about 3703.0264649338. The cubic root of 13712405 is about 239.3524500024.

The spelling of 13712405 in words is "thirteen million, seven hundred twelve thousand, four hundred five".

Divisors: 1 5 7 35 49 97 245 485 577 679 2885 3395 4039 4753 20195 23765 28273 55969 141365 279845 391783 1958915 2742481 13712405