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20980900 = 2252209809
BaseRepresentation
bin101000000001…
…0010010100100
31110110221101101
41100002102210
520332342100
62025405444
7343222543
oct120022244
943427341
1020980900
1110930296
127039884
134467a45
142b0215a
151c9686a
hex14024a4

20980900 has 18 divisors (see below), whose sum is σ = 45528770. Its totient is φ = 8392320.

The previous prime is 20980879. The next prime is 20980901. The reversal of 20980900 is 908902.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3541924 + 17438976 = 1882^2 + 4176^2 .

It is not an unprimeable number, because it can be changed into a prime (20980901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104805 + ... + 105004.

Almost surely, 220980900 is an apocalyptic number.

20980900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20980900 is an abundant number, since it is smaller than the sum of its proper divisors (24547870).

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

20980900 is a wasteful number, since it uses less digits than its factorization.

20980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209823 (or 209816 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 20980900 is about 4580.4912400309. The cubic root of 20980900 is about 275.8087486924.

The spelling of 20980900 in words is "twenty million, nine hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 209809 419618 839236 1049045 2098090 4196180 5245225 10490450 20980900