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809300 = 22528093
BaseRepresentation
bin11000101100101010100
31112010011002
43011211110
5201344200
625202432
76610322
oct3054524
91463132
10809300
11503048
12330418
1322449b
14170d12
1510ebd5
hexc5954

809300 has 18 divisors (see below), whose sum is σ = 1756398. Its totient is φ = 323680.

The previous prime is 809297. The next prime is 809309. The reversal of 809300 is 3908.

It can be written as a sum of positive squares in 3 ways, for example, as 38416 + 770884 = 196^2 + 878^2 .

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

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809300.

It is not an unprimeable number, because it can be changed into a prime (809309) 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, 3947 + ... + 4146.

2809300 is an apocalyptic number.

It is an amenable number.

809300 is an abundant number, since it is smaller than the sum of its proper divisors (947098).

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

809300 is a wasteful number, since it uses less digits than its factorization.

809300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 809300 is about 899.6110270556. The cubic root of 809300 is about 93.1901148130.

The spelling of 809300 in words is "eight hundred nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8093 16186 32372 40465 80930 161860 202325 404650 809300