Search a number
-
+
18210906 = 235753101
BaseRepresentation
bin100010101111…
…0000001011010
31021021012200000
41011132001122
514130222111
61450153430
7310535010
oct105360132
937235600
1018210906
11a30913a
126122876
133a07cac
1425c08b0
1518eac56
hex115e05a

18210906 has 96 divisors (see below), whose sum is σ = 48117888. Its totient is φ = 5054400.

The previous prime is 18210851. The next prime is 18210931. The reversal of 18210906 is 60901281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 18210906.

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, 180256 + ... + 180356.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 218210906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18210906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

18210906 is an abundant number, since it is smaller than the sum of its proper divisors (29906982).

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

18210906 is a wasteful number, since it uses less digits than its factorization.

18210906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 18210906 is about 4267.4238130282. The cubic root of 18210906 is about 263.0937417332.

The spelling of 18210906 in words is "eighteen million, two hundred ten thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 101 106 126 159 162 189 202 243 303 318 371 378 477 486 567 606 707 742 909 954 1113 1134 1414 1431 1701 1818 2121 2226 2727 2862 3339 3402 4242 4293 5353 5454 6363 6678 8181 8586 10017 10706 12726 12879 16059 16362 19089 20034 24543 25758 30051 32118 37471 38178 48177 49086 57267 60102 74942 90153 96354 112413 114534 144531 171801 180306 224826 289062 337239 343602 433593 674478 867186 1011717 1300779 2023434 2601558 3035151 6070302 9105453 18210906