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12986766 = 232131923127
BaseRepresentation
bin110001100010…
…100110001110
3220102210111100
4301202212032
511311034031
61142203530
7215246202
oct61424616
926383440
1012986766
117370171
1244235a6
1328c91a0
141a20b02
151217de6
hexc6298e

12986766 has 96 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 3592512.

The previous prime is 12986723. The next prime is 12986783. The reversal of 12986766 is 66768921.

It is a super-2 number, since 2×129867662 = 337312182277512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102195 + ... + 102321.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 212986766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12986766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).

12986766 is an abundant number, since it is smaller than the sum of its proper divisors (20559474).

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

12986766 is a wasteful number, since it uses less digits than its factorization.

12986766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 12986766 is about 3603.7155825620. The cubic root of 12986766 is about 235.0536530581.

The spelling of 12986766 in words is "twelve million, nine hundred eighty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 127 138 171 207 234 247 254 299 342 381 414 437 494 598 741 762 874 897 1143 1311 1482 1651 1794 2223 2286 2413 2622 2691 2921 3302 3933 4446 4826 4953 5382 5681 5842 7239 7866 8763 9906 11362 14478 14859 17043 17526 21717 26289 29718 31369 34086 37973 43434 51129 52578 55499 62738 75946 94107 102258 110998 113919 166497 188214 227838 282321 332994 341757 499491 564642 683514 721487 998982 1442974 2164461 4328922 6493383 12986766