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13712829 = 3132173743
BaseRepresentation
bin110100010011…
…110110111101
3221210200110120
4310103312331
512002302304
61205525153
7224362044
oct64236675
927720416
1013712829
117816719
1247137b9
132ac1800
141b6d55b
15130d0d9
hexd13dbd

13712829 has 48 divisors (see below), whose sum is σ = 22030272. Its totient is φ = 7547904.

The previous prime is 13712821. The next prime is 13712833. The reversal of 13712829 is 92821731.

13712829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13712829 - 23 = 13712821 is a prime.

Its product of digits (6048) is a multiple of the sum of its prime factors (126).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13712829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318882 + ... + 318924.

It is an arithmetic number, because the mean of its divisors is an integer number (458964).

Almost surely, 213712829 is an apocalyptic number.

It is an amenable number.

13712829 is a deficient number, since it is larger than the sum of its proper divisors (8317443).

13712829 is a wasteful number, since it uses less digits than its factorization.

13712829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13712829 is about 3703.0837149597. The cubic root of 13712829 is about 239.3549169752.

It can be divided in two parts, 13712 and 829, that added together give a palindrome (14541).

The spelling of 13712829 in words is "thirteen million, seven hundred twelve thousand, eight hundred twenty-nine".

Divisors: 1 3 13 17 37 39 43 51 111 129 169 221 481 507 559 629 663 731 1443 1591 1677 1887 2193 2873 4773 6253 7267 8177 8619 9503 18759 20683 21801 24531 27047 28509 62049 81141 106301 123539 268879 318903 351611 370617 806637 1054833 4570943 13712829