Search a number
-
+
804580 = 22572821
BaseRepresentation
bin11000100011011100100
31111212200021
43010123210
5201221310
625124524
76560500
oct3043344
91455607
10804580
114aa547
12329744
132222aa
1416d300
1510d5da
hexc46e4

804580 has 36 divisors (see below), whose sum is σ = 1967868. Its totient is φ = 275520.

The previous prime is 804577. The next prime is 804581. The reversal of 804580 is 85408.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 550564 = 504^2 + 742^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (804581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (54663).

2804580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983934).

804580 is an abundant number, since it is smaller than the sum of its proper divisors (1163288).

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

804580 is a wasteful number, since it uses less digits than its factorization.

804580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 804580 is about 896.9838348599. The cubic root of 804580 is about 93.0085936484.

Adding to 804580 its reverse (85408), we get a palindrome (889988).

The spelling of 804580 in words is "eight hundred four thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 821 980 1642 3284 4105 5747 8210 11494 16420 22988 28735 40229 57470 80458 114940 160916 201145 402290 804580