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12680568 = 2332533323
BaseRepresentation
bin110000010111…
…110101111000
3212212020110200
4300113311320
511221234233
61131442200
7212532405
oct60276570
925766420
1012680568
11718110a
1242b6360
13281c9c4
1419812ac
1511a7313
hexc17d78

12680568 has 48 divisors (see below), whose sum is σ = 35001720. Its totient is φ = 4145856.

The previous prime is 12680561. The next prime is 12680573. The reversal of 12680568 is 86508621.

It is a happy number.

12680568 is a `hidden beast` number, since 12 + 6 + 80 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12680561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 5477.

Almost surely, 212680568 is an apocalyptic number.

12680568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12680568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500860).

12680568 is an abundant number, since it is smaller than the sum of its proper divisors (22321152).

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

12680568 is a wasteful number, since it uses less digits than its factorization.

12680568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12680568 is about 3560.9785172056. The cubic root of 12680568 is about 233.1916000925.

The spelling of 12680568 in words is "twelve million, six hundred eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3323 3816 6646 9969 13292 19938 26584 29907 39876 59814 79752 119628 176119 239256 352238 528357 704476 1056714 1408952 1585071 2113428 3170142 4226856 6340284 12680568