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2020042020 = 22351674492
BaseRepresentation
bin111100001100111…
…0110010100100100
312012210001202201010
41320121312110210
513114112321040
6532240302220
7101026034223
oct17031662444
95183052633
102020042020
11947296517
12484611970
13262673949
141523d4cba
15bc520e80
hex78676524

2020042020 has 72 divisors (see below), whose sum is σ = 5702687424. Its totient is φ = 534259712.

The previous prime is 2020041971. The next prime is 2020042033. The reversal of 2020042020 is 202400202.

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 = 2020041987 and 2020042005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4498756 + ... + 4499204.

It is an arithmetic number, because the mean of its divisors is an integer number (79203992).

Almost surely, 22020042020 is an apocalyptic number.

2020042020 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 2020042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851343712).

2020042020 is an abundant number, since it is smaller than the sum of its proper divisors (3682645404).

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

2020042020 is a wasteful number, since it uses less digits than its factorization.

2020042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 626 counting only the distinct ones).

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

The square root of 2020042020 is about 44944.8775724220. The cubic root of 2020042020 is about 1264.1156301111.

Adding to 2020042020 its reverse (202400202), we get a palindrome (2222442222).

The spelling of 2020042020 in words is "two billion, twenty million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 449 501 668 835 898 1002 1347 1670 1796 2004 2245 2505 2694 3340 4490 5010 5388 6735 8980 10020 13470 26940 74983 149966 201601 224949 299932 374915 403202 449898 604803 749830 806404 899796 1008005 1124745 1209606 1499660 2016010 2249490 2419212 3024015 4032020 4498980 6048030 12096060 33667367 67334734 101002101 134669468 168336835 202004202 336673670 404008404 505010505 673347340 1010021010 2020042020