Search a number
-
+
20441332020 = 22351988120353
BaseRepresentation
bin10011000010011001…
…011111100100110100
31221202120222020222010
4103002121133210310
5313330440111040
613220212404220
71322361312114
oct230231374464
957676866863
1020441332020
11873a66532a
123b65916670
131c09c5b145
14dbcb69044
157e9895e80
hex4c265f934

20441332020 has 96 divisors (see below), whose sum is σ = 60319486080. Its totient is φ = 5158010880.

The previous prime is 20441332013. The next prime is 20441332069. The reversal of 20441332020 is 2023314402.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 994164 + ... + 1014516.

It is an arithmetic number, because the mean of its divisors is an integer number (628327980).

Almost surely, 220441332020 is an apocalyptic number.

20441332020 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 20441332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159743040).

20441332020 is an abundant number, since it is smaller than the sum of its proper divisors (39878154060).

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

20441332020 is a wasteful number, since it uses less digits than its factorization.

20441332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265 (or 21263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20441332020 its reverse (2023314402), we get a palindrome (22464646422).

The spelling of 20441332020 in words is "twenty billion, four hundred forty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 881 1140 1762 2643 3524 4405 5286 8810 10572 13215 16739 17620 20353 26430 33478 40706 50217 52860 61059 66956 81412 83695 100434 101765 122118 167390 200868 203530 244236 251085 305295 334780 386707 407060 502170 610590 773414 1004340 1160121 1221180 1546828 1933535 2320242 3867070 4640484 5800605 7734140 11601210 17930993 23202420 35861986 53792979 71723972 89654965 107585958 179309930 215171916 268964895 340688867 358619860 537929790 681377734 1022066601 1075859580 1362755468 1703444335 2044133202 3406888670 4088266404 5110333005 6813777340 10220666010 20441332020