Search a number
-
+
20000900 = 2252200009
BaseRepresentation
bin100110001001…
…1000010000100
31101122011002002
41030103002010
520110012100
61552404432
7332001443
oct114230204
941564062
1020000900
1110320a77
126846718
1341b396a
142928d5a
151b512d5
hex1313084

20000900 has 18 divisors (see below), whose sum is σ = 43402170. Its totient is φ = 8000320.

The previous prime is 20000879. The next prime is 20000909. The reversal of 20000900 is 900002.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 19998784 = 46^2 + 4472^2 .

20000900 is a modest number, since divided by 900 gives 200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (20000909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99905 + ... + 100104.

Almost surely, 220000900 is an apocalyptic number.

20000900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000900 is an abundant number, since it is smaller than the sum of its proper divisors (23401270).

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

20000900 is a wasteful number, since it uses less digits than its factorization.

20000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200023 (or 200016 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 20000900 is about 4472.2365769266. The cubic root of 20000900 is about 271.4458332248.

Adding to 20000900 its reverse (900002), we get a palindrome (20900902).

The spelling of 20000900 in words is "twenty million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 200009 400018 800036 1000045 2000090 4000180 5000225 10000450 20000900