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12687246 = 23311133153
BaseRepresentation
bin110000011001…
…011110001110
3212212120122000
4300121132032
511221442441
61131533130
7212561025
oct60313616
925776560
1012687246
117186130
1242ba1a6
132822a60
1419838bc
1511a92b6
hexc1978e

12687246 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3369600.

The previous prime is 12687223. The next prime is 12687331. The reversal of 12687246 is 64278621.

12687246 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126872462 = 321932422129032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12687246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239356 + ... + 239408.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 212687246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12687246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12687246 is an abundant number, since it is smaller than the sum of its proper divisors (22149234).

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

12687246 is a wasteful number, since it uses less digits than its factorization.

12687246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12687246 is about 3561.9160574051. The cubic root of 12687246 is about 233.2325283384.

The spelling of 12687246 in words is "twelve million, six hundred eighty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 53 54 62 66 78 93 99 106 117 143 159 186 198 234 279 286 297 318 341 351 403 429 477 558 583 594 682 689 702 806 837 858 954 1023 1166 1209 1287 1378 1431 1643 1674 1749 2046 2067 2418 2574 2862 3069 3286 3498 3627 3861 4134 4433 4929 5247 6138 6201 7254 7579 7722 8866 9207 9858 10494 10881 12402 13299 14787 15158 15741 18073 18414 18603 21359 21762 22737 26598 29574 31482 36146 37206 39897 42718 44361 45474 54219 64077 68211 79794 88722 108438 119691 128154 136422 162657 192231 204633 234949 239382 325314 384462 409266 469898 487971 576693 704847 975942 1153386 1409694 2114541 4229082 6343623 12687246