Search a number
-
+
12829725 = 335283229
BaseRepresentation
bin110000111100…
…010000011101
3220010211002000
4300330100131
511241022400
61134552513
7214023306
oct60742035
926124060
1012829725
117273187
124368739
13287286c
1419bd7ad
1511d6600
hexc3c41d

12829725 has 48 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 6730560.

The previous prime is 12829721. The next prime is 12829741. The reversal of 12829725 is 52792821.

It is not a de Polignac number, because 12829725 - 22 = 12829721 is a prime.

Its product of digits (20160) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 12829725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829721) 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 47 ways as a sum of consecutive naturals, for example, 55911 + ... + 56139.

It is an arithmetic number, because the mean of its divisors is an integer number (499100).

Almost surely, 212829725 is an apocalyptic number.

12829725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12829725 is a deficient number, since it is larger than the sum of its proper divisors (11127075).

12829725 is a wasteful number, since it uses less digits than its factorization.

12829725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12829725 is about 3581.8605500494. The cubic root of 12829725 is about 234.1023549590.

The spelling of 12829725 in words is "twelve million, eight hundred twenty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 83 135 225 229 249 415 675 687 747 1145 1245 2061 2075 2241 3435 3735 5725 6183 6225 10305 11205 17175 18675 19007 30915 51525 56025 57021 95035 154575 171063 285105 475175 513189 855315 1425525 2565945 4276575 12829725