Search a number
-
+
2020304300 = 22527358901
BaseRepresentation
bin111100001101011…
…0110010110101100
312012210120002111012
41320122312112230
513114144214200
6532250044352
7101031206000
oct17032662654
95183502435
102020304300
11947455583
124847196b8
13262736141
14152462700
15bc573a35
hex786b65ac

2020304300 has 72 divisors (see below), whose sum is σ = 5112693600. Its totient is φ = 692664000.

The previous prime is 2020304281. The next prime is 2020304347. The reversal of 2020304300 is 34030202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4850 + ... + 63750.

Almost surely, 22020304300 is an apocalyptic number.

2020304300 is a gapful number since it is divisible by the number (20) 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 2020304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556346800).

2020304300 is an abundant number, since it is smaller than the sum of its proper divisors (3092389300).

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

2020304300 is a wasteful number, since it uses less digits than its factorization.

2020304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58936 (or 58915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2020304300 is about 44947.7952740732. The cubic root of 2020304300 is about 1264.1703381974.

Adding to 2020304300 its reverse (34030202), we get a palindrome (2054334502).

The spelling of 2020304300 in words is "two billion, twenty million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 58901 117802 235604 294505 412307 589010 824614 1178020 1472525 1649228 2061535 2886149 2945050 4123070 5772298 5890100 8246140 10307675 11544596 14430745 20203043 20615350 28861490 40406086 41230700 57722980 72153725 80812172 101015215 144307450 202030430 288614900 404060860 505076075 1010152150 2020304300