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18090112 = 27314797
BaseRepresentation
bin100010100000…
…0100010000000
31021001001222011
41011000202000
514112340422
61443422304
7306522565
oct105004200
937031864
1018090112
11a236407
126084994
133995011
14258c86c
1518c5077
hex1140880

18090112 has 64 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 8478720.

The previous prime is 18090097. The next prime is 18090157. The reversal of 18090112 is 21109081.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186448 + ... + 186544.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 218090112 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 18090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

18090112 is an abundant number, since it is smaller than the sum of its proper divisors (20294528).

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

18090112 is an equidigital number, since it uses as much as digits as its factorization.

18090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 18090112 is about 4253.2472300585. The cubic root of 18090112 is about 262.5107454407.

Adding to 18090112 its reverse (21109081), we get a palindrome (39199193).

The spelling of 18090112 in words is "eighteen million, ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 97 124 128 188 194 248 376 388 496 752 776 992 1457 1504 1552 1984 2914 3007 3008 3104 3968 4559 5828 6014 6016 6208 9118 11656 12028 12416 18236 23312 24056 36472 46624 48112 72944 93248 96224 141329 145888 186496 192448 282658 291776 384896 565316 583552 1130632 2261264 4522528 9045056 18090112