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2000242020 = 2235721122571
BaseRepresentation
bin111011100111001…
…0100010101100100
312011101210211012210
41313032110111210
513044030221040
6530252043420
7100365530250
oct16716242544
95141724183
102000242020
119370a2487
12479a63570
1325b53057a
1414d91d260
15ba90e480
hex77394564

2000242020 has 96 divisors (see below), whose sum is σ = 6431394816. Its totient is φ = 455011200.

The previous prime is 2000242003. The next prime is 2000242039. The reversal of 2000242020 is 202420002.

It is a happy number.

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 = 2000241987 and 2000242005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77335 + ... + 99905.

It is an arithmetic number, because the mean of its divisors is an integer number (66993696).

Almost surely, 22000242020 is an apocalyptic number.

2000242020 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 2000242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215697408).

2000242020 is an abundant number, since it is smaller than the sum of its proper divisors (4431152796).

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

2000242020 is a wasteful number, since it uses less digits than its factorization.

2000242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22801 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2000242020 is about 44724.0653340011. The cubic root of 2000242020 is about 1259.9718688605.

Adding to 2000242020 its reverse (202420002), we get a palindrome (2202662022).

The spelling of 2000242020 in words is "two billion, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 22155 22571 29540 44310 45142 67713 88620 90284 112855 135426 157997 225710 270852 315994 338565 451420 473991 631988 677130 789985 947982 1354260 1579970 1895964 2369955 3159940 4739910 4762481 9479820 9524962 14287443 19049924 23812405 28574886 33337367 47624810 57149772 66674734 71437215 95249620 100012101 133349468 142874430 166686835 200024202 285748860 333373670 400048404 500060505 666747340 1000121010 2000242020