Search a number
-
+
19768266 = 2337231241
BaseRepresentation
bin100101101101…
…0001111001010
31101012022222000
41023122033022
520030041031
61543411430
7330012300
oct113321712
941168860
1019768266
1110182211
126753b76
134131acb
1428a8270
151b073e6
hex12da3ca

19768266 has 96 divisors (see below), whose sum is σ = 52968960. Its totient is φ = 5443200.

The previous prime is 19768253. The next prime is 19768267. The reversal of 19768266 is 66286791.

It is not an unprimeable number, because it can be changed into a prime (19768267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81906 + ... + 82146.

It is an arithmetic number, because the mean of its divisors is an integer number (551760).

Almost surely, 219768266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19768266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484480).

19768266 is an abundant number, since it is smaller than the sum of its proper divisors (33200694).

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

19768266 is a wasteful number, since it uses less digits than its factorization.

19768266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

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

The square root of 19768266 is about 4446.1518192702. The cubic root of 19768266 is about 270.3893149175.

The spelling of 19768266 in words is "nineteen million, seven hundred sixty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 241 279 294 378 434 441 482 558 651 723 837 882 1302 1323 1446 1519 1674 1687 1953 2169 2646 3038 3374 3906 4338 4557 5061 5859 6507 7471 9114 10122 11718 11809 13014 13671 14942 15183 22413 23618 27342 30366 35427 41013 44826 45549 52297 67239 70854 82026 91098 104594 106281 134478 156891 201717 212562 313782 318843 366079 403434 470673 637686 732158 941346 1098237 1412019 2196474 2824038 3294711 6589422 9884133 19768266