Search a number
-
+
12262866 = 23711219127
BaseRepresentation
bin101110110001…
…110111010010
3212002000111020
4232301313102
511114402431
61114500310
7206142540
oct56616722
925060436
1012262866
116a16300
124134696
132704845
1418b2d90
151123696
hexbb1dd2

12262866 has 96 divisors (see below), whose sum is σ = 32686080. Its totient is φ = 2993760.

The previous prime is 12262829. The next prime is 12262883. The reversal of 12262866 is 66826221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96495 + ... + 96621.

It is an arithmetic number, because the mean of its divisors is an integer number (340480).

Almost surely, 212262866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12262866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343040).

12262866 is an abundant number, since it is smaller than the sum of its proper divisors (20423214).

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

12262866 is a wasteful number, since it uses less digits than its factorization.

12262866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12262866 is about 3501.8375176470. The cubic root of 12262866 is about 230.6024909547.

The spelling of 12262866 in words is "twelve million, two hundred sixty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 127 133 154 209 231 242 254 266 363 381 399 418 462 627 726 762 798 847 889 1254 1397 1463 1694 1778 2299 2413 2541 2667 2794 2926 4191 4389 4598 4826 5082 5334 6897 7239 8382 8778 9779 13794 14478 15367 16093 16891 19558 26543 29337 30734 32186 33782 46101 48279 50673 53086 58674 79629 92202 96558 101346 107569 159258 185801 215138 291973 322707 371602 557403 583946 645414 875919 1114806 1751838 2043811 4087622 6131433 12262866