Search a number
-
+
18084200 = 2352194759
BaseRepresentation
bin100010011111…
…1000101101000
31021000202212012
41010333011220
514112143300
61443335052
7306466421
oct104770550
937022765
1018084200
11a231a22
126081488
133992414
14258a648
1518c3435
hex113f168

18084200 has 48 divisors (see below), whose sum is σ = 44268000. Its totient is φ = 6851520.

The previous prime is 18084173. The next prime is 18084211. The reversal of 18084200 is 248081.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1421 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (922250).

Almost surely, 218084200 is an apocalyptic number.

18084200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134000).

18084200 is an abundant number, since it is smaller than the sum of its proper divisors (26183800).

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

18084200 is a wasteful number, since it uses less digits than its factorization.

18084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 18084200 is about 4252.5521748710. The cubic root of 18084200 is about 262.4821454220.

The spelling of 18084200 in words is "eighteen million, eighty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 4759 9518 19036 23795 38072 47590 90421 95180 118975 180842 190360 237950 361684 452105 475900 723368 904210 951800 1808420 2260525 3616840 4521050 9042100 18084200