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12763668 = 22317193789
BaseRepresentation
bin110000101100…
…001000010100
3220000110110110
4300230020110
511231414133
61133323020
7213326601
oct60541024
926013413
1012763668
117228595
124336470
13284b788
1419a36a8
1511c1c63
hexc2c214

12763668 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3649536.

The previous prime is 12763637. The next prime is 12763693. The reversal of 12763668 is 86636721.

It is a super-2 number, since 2×127636682 = 325822441628448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143368 + ... + 143456.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 212763668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12763668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12763668 is an abundant number, since it is smaller than the sum of its proper divisors (21709932).

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

12763668 is a wasteful number, since it uses less digits than its factorization.

12763668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 12763668 is about 3572.6276044391. The cubic root of 12763668 is about 233.6998855457.

It can be divided in two parts, 12763 and 668, that added together give a palindrome (13431).

The spelling of 12763668 in words is "twelve million, seven hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 37 38 51 57 68 74 76 89 102 111 114 148 178 204 222 228 267 323 356 444 534 629 646 703 969 1068 1258 1292 1406 1513 1691 1887 1938 2109 2516 2812 3026 3293 3382 3774 3876 4218 4539 5073 6052 6586 6764 7548 8436 9078 9879 10146 11951 13172 18156 19758 20292 23902 28747 35853 39516 47804 55981 57494 62567 71706 86241 111962 114988 125134 143412 167943 172482 187701 223924 250268 335886 344964 375402 671772 750804 1063639 2127278 3190917 4254556 6381834 12763668