Search a number
-
+
18000090 = 2335163409
BaseRepresentation
bin100010010101…
…0100011011010
31020212111111000
41010222203122
514102000330
61441445430
7305666253
oct104524332
936774430
1018000090
11a184809
126040876
133963054
142567b2a
1518a8560
hex112a8da

18000090 has 64 divisors (see below), whose sum is σ = 48412800. Its totient is φ = 4758912.

The previous prime is 18000089. The next prime is 18000137. The reversal of 18000090 is 9000081.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 43806 + ... + 44214.

It is an arithmetic number, because the mean of its divisors is an integer number (756450).

Almost surely, 218000090 is an apocalyptic number.

18000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206400).

18000090 is an abundant number, since it is smaller than the sum of its proper divisors (30412710).

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

18000090 is a wasteful number, since it uses less digits than its factorization.

18000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 18000090 is about 4242.6512937077. The cubic root of 18000090 is about 262.0745762104.

Subtracting from 18000090 its reverse (9000081), we obtain a palindrome (9000009).

The spelling of 18000090 in words is "eighteen million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 163 270 326 409 489 815 818 978 1227 1467 1630 2045 2445 2454 2934 3681 4090 4401 4890 6135 7335 7362 8802 11043 12270 14670 18405 22005 22086 36810 44010 55215 66667 110430 133334 200001 333335 400002 600003 666670 1000005 1200006 1800009 2000010 3000015 3600018 6000030 9000045 18000090