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12568764 = 223132331113
BaseRepresentation
bin101111111100…
…100010111100
3212122120002210
4233330202330
511204200024
61125220420
7211555425
oct57744274
925576083
1012568764
11710510a
124261710
1327b0b50
14195264c
151184129
hexbfc8bc

12568764 has 96 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 3548160.

The previous prime is 12568757. The next prime is 12568769. The reversal of 12568764 is 46786521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12568769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111172 + ... + 111284.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 212568764 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 12568764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

12568764 is an abundant number, since it is smaller than the sum of its proper divisors (21751620).

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

12568764 is a wasteful number, since it uses less digits than its factorization.

12568764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 12568764 is about 3545.2452665507. The cubic root of 12568764 is about 232.5042293137.

It can be divided in two parts, 125687 and 64, that added together give a triangular number (125751 = T501).

The spelling of 12568764 in words is "twelve million, five hundred sixty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 31 39 46 52 62 69 78 92 93 113 124 138 156 186 226 276 299 339 372 403 452 598 678 713 806 897 1196 1209 1356 1426 1469 1612 1794 2139 2418 2599 2852 2938 3503 3588 4278 4407 4836 5198 5876 7006 7797 8556 8814 9269 10396 10509 14012 15594 17628 18538 21018 27807 31188 33787 37076 42036 45539 55614 67574 80569 91078 101361 111228 135148 136617 161138 182156 202722 241707 273234 322276 405444 483414 546468 966828 1047397 2094794 3142191 4189588 6284382 12568764