Search a number
-
+
18264906 = 2331197317
BaseRepresentation
bin100010110101…
…1001101001010
31021100221202000
41011223031022
514133434111
61451251430
7311151312
oct105531512
937327660
1018264906
11a345770
126149b76
133a2674a
1425d6442
15190bc56
hex116b34a

18264906 has 64 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 5460480.

The previous prime is 18264901. The next prime is 18264907. The reversal of 18264906 is 60946281.

18264906 is a `hidden beast` number, since 1 + 8 + 2 + 649 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18264901) 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, 57460 + ... + 57776.

It is an arithmetic number, because the mean of its divisors is an integer number (701190).

Almost surely, 218264906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18264906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

18264906 is an abundant number, since it is smaller than the sum of its proper divisors (26611254).

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

18264906 is a wasteful number, since it uses less digits than its factorization.

18264906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18264906 is about 4273.7461319082. The cubic root of 18264906 is about 263.3535318944.

The spelling of 18264906 in words is "eighteen million, two hundred sixty-four thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 317 582 594 634 873 951 1067 1746 1902 2134 2619 2853 3201 3487 5238 5706 6402 6974 8559 9603 10461 17118 19206 20922 28809 30749 31383 57618 61498 62766 92247 94149 184494 188298 276741 338239 553482 676478 830223 1014717 1660446 2029434 3044151 6088302 9132453 18264906