2020 – The Corona Year

2020 is the corona year. 2020 is important in mathematics also.

It is an even composite number same as 2 × 2 × 5 × 101. Twelve divisors are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020 and their sum is 4284. As the sum of all proper divisors is 2264, greater than the number itself, hence it is an abundant number. Adding to 2020 its reverse, we get a Palindrome 2222! 2020 is the 22nd natural number for which sum of the digits is equal to the number of digits.

We can write 2020 as the sum of consecutive numbers in three different ways:

2020 = 402 + 403 + 404 + 405 + 406 = 249 + 250 + … + 255 + 256 = 31 + 32 + 33 + … + 69 + 70

It can be written as the sum of squares in the following ways:

2020 = 242 + 382 = 162 + 422 = 42 + 62 + 82 + … + 202 + 222

This number can be written as the sum of twenty consecutive triangular numbers as

2020 = t3 + t4 + t5 + … + t21 + t22

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