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18818900 = 2252188189
BaseRepresentation
bin100011111001…
…0011101010100
31022102002200022
41013302131110
514304201100
61511204312
7315646412
oct107623524
938362608
1018818900
11a693a11
126376698
133b8b959
1426dc2b2
1519bae85
hex11f2754

18818900 has 18 divisors (see below), whose sum is σ = 40837230. Its totient is φ = 7527520.

The previous prime is 18818867. The next prime is 18818909. The reversal of 18818900 is 981881.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 18783556 = 188^2 + 4334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18818909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93995 + ... + 94194.

It is an arithmetic number, because the mean of its divisors is an integer number (2268735).

Almost surely, 218818900 is an apocalyptic number.

18818900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18818900 is an abundant number, since it is smaller than the sum of its proper divisors (22018330).

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

18818900 is a wasteful number, since it uses less digits than its factorization.

18818900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188203 (or 188196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 18818900 is about 4338.0756102217. The cubic root of 18818900 is about 265.9896541852.

The spelling of 18818900 in words is "eighteen million, eight hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 188189 376378 752756 940945 1881890 3763780 4704725 9409450 18818900