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18412000 = 25534603
BaseRepresentation
bin100011000111…
…1000111100000
31021122102111221
41012033013200
514203141000
61454344424
7312333205
oct106170740
937572457
1018412000
11a436232
1261bb114
133a78699
142633cac
15193a61a
hex118f1e0

18412000 has 48 divisors (see below), whose sum is σ = 45248112. Its totient is φ = 7363200.

The previous prime is 18411989. The next prime is 18412001. The reversal of 18412000 is 21481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18412001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1699 + ... + 6301.

It is an arithmetic number, because the mean of its divisors is an integer number (942669).

Almost surely, 218412000 is an apocalyptic number.

18412000 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 18412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624056).

18412000 is an abundant number, since it is smaller than the sum of its proper divisors (26836112).

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

18412000 is an equidigital number, since it uses as much as digits as its factorization.

18412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 18412000 is about 4290.9206471339. The cubic root of 18412000 is about 264.0586034578.

Adding to 18412000 its reverse (21481), we get a palindrome (18433481).

The spelling of 18412000 in words is "eighteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4603 9206 18412 23015 36824 46030 73648 92060 115075 147296 184120 230150 368240 460300 575375 736480 920600 1150750 1841200 2301500 3682400 4603000 9206000 18412000