20138600 has 24 divisors (see below), whose sum is σ = 46822710. Its totient is φ = 8055360.

The previous prime is 20138567. The next prime is 20138609. The reversal of 20138600 is 683102.

It can be written as a sum of positive squares in 3 ways, for example, as 12859396 + 7279204 = 3586^2 + 2698^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20138609) 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 5 ways as a sum of consecutive naturals, for example, 50147 + ... + 50546.

Almost surely, 2^20138600 is an apocalyptic number.

20138600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20138600 is an abundant number, since it is smaller than the sum of its proper divisors (26684110).

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

20138600 is a wasteful number, since it uses less digits than its factorization.

20138600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100709 (or 100700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20138600 is about 4487.6051519714. The cubic root of 20138600 is about 272.0673492394.

The spelling of 20138600 in words is "twenty million, one hundred thirty-eight thousand, six hundred".