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12683430 = 2325532659
BaseRepresentation
bin110000011000…
…100010100110
3212212101101200
4300120202212
511221332210
61131503330
7212543634
oct60304246
925771350
1012683430
117183281
1242b7b46
1328210b6
141982354
1511a80c0
hexc188a6

12683430 has 48 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 3317184.

The previous prime is 12683423. The next prime is 12683443. The reversal of 12683430 is 3438621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12683394 and 12683403.

It is a congruent 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, 3441 + ... + 6099.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 212683430 is an apocalyptic number.

12683430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12683430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

12683430 is an abundant number, since it is smaller than the sum of its proper divisors (20928330).

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

12683430 is a wasteful number, since it uses less digits than its factorization.

12683430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12683430 is about 3561.3803503698. The cubic root of 12683430 is about 233.2091425284.

The spelling of 12683430 in words is "twelve million, six hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 2659 4770 5318 7977 13295 15954 23931 26590 39885 47862 79770 119655 140927 239310 281854 422781 704635 845562 1268343 1409270 2113905 2536686 4227810 6341715 12683430