Search a number
-
+
320230020 = 2235111728541
BaseRepresentation
bin10011000101100…
…101001010000100
3211022120101000010
4103011211022010
51123434330040
651435350220
710635624135
oct2305451204
9738511003
10320230020
11154841610
128b2b2370
1351461b26
143075bc8c
151d1a7e80
hex13165284

320230020 has 96 divisors (see below), whose sum is σ = 1035732096. Its totient is φ = 73062400.

The previous prime is 320229997. The next prime is 320230021. The reversal of 320230020 is 20032023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320229978 and 320230005.

It is not an unprimeable number, because it can be changed into a prime (320230021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3051 + ... + 25490.

It is an arithmetic number, because the mean of its divisors is an integer number (10788876).

Almost surely, 2320230020 is an apocalyptic number.

320230020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517866048).

320230020 is an abundant number, since it is smaller than the sum of its proper divisors (715502076).

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

320230020 is a wasteful number, since it uses less digits than its factorization.

320230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581 (or 28579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320230020 is about 17894.9719195086. The cubic root of 320230020 is about 684.1542263630.

Adding to 320230020 its reverse (20032023), we get a palindrome (340262043).

The spelling of 320230020 in words is "three hundred twenty million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 28541 57082 85623 114164 142705 171246 285410 313951 342492 428115 485197 570820 627902 856230 941853 970394 1255804 1455591 1569755 1712460 1883706 1940788 2425985 2911182 3139510 3767412 4709265 4851970 5337167 5822364 6279020 7277955 9418530 9703940 10674334 14555910 16011501 18837060 21348668 26685835 29111820 32023002 53371670 64046004 80057505 106743340 160115010 320230020