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12829146 = 2311241431
BaseRepresentation
bin110000111100…
…000111011010
3220010210021120
4300330013122
511241013041
61134550110
7214021521
oct60740732
926123246
1012829146
117272800
124368336
132872515
1419bd4b8
1511d6366
hexc3c1da

12829146 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3784000.

The previous prime is 12829139. The next prime is 12829163. The reversal of 12829146 is 64192821.

12829146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29551 + ... + 29981.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 212829146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

12829146 is an abundant number, since it is smaller than the sum of its proper divisors (16128678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12829146 is a wasteful number, since it uses less digits than its factorization.

12829146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12829146 is about 3581.7797252204. The cubic root of 12829146 is about 234.0988332596.

The spelling of 12829146 in words is "twelve million, eight hundred twenty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 431 451 726 862 902 1293 1353 2586 2706 4741 4961 9482 9922 14223 14883 17671 28446 29766 35342 52151 53013 104302 106026 156453 194381 312906 388762 583143 1166286 2138191 4276382 6414573 12829146