Search a number
-
+
809730020 = 225114098999
BaseRepresentation
bin110000010000110…
…111111111100100
32002102122112202202
4300100313333210
53124242330040
6212203154032
726031406631
oct6020677744
92072575682
10809730020
11386087170
121a7215918
13cb9ab8b8
147977d188
154b14a015
hex30437fe4

809730020 has 48 divisors (see below), whose sum is σ = 1859760000. Its totient is φ = 293694720.

The previous prime is 809730017. The next prime is 809730037. The reversal of 809730020 is 20037908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85481 + ... + 94479.

It is an arithmetic number, because the mean of its divisors is an integer number (38745000).

Almost surely, 2809730020 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 809730020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929880000).

809730020 is an abundant number, since it is smaller than the sum of its proper divisors (1050029980).

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

809730020 is a wasteful number, since it uses less digits than its factorization.

809730020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 809730020 is about 28455.7554810973. The cubic root of 809730020 is about 932.0661735328.

Adding to 809730020 its reverse (20037908), we get a palindrome (829767928).

The spelling of 809730020 in words is "eight hundred nine million, seven hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1636 2045 4090 4499 8180 8998 8999 17996 17998 22495 35996 44990 44995 89980 89990 98989 179980 197978 395956 494945 989890 1979780 3680591 7361182 14722364 18402955 36805910 40486501 73611820 80973002 161946004 202432505 404865010 809730020