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2021020180 = 2251715737861
BaseRepresentation
bin111100001110110…
…0101001000010100
312012211220110111021
41320131211020110
513114340121210
6532313250524
7101040250054
oct17035451024
95184813437
102021020180
119478a4413
12484a03a44
13262926c3a
141525ab564
15bc665bda
hex78765214

2021020180 has 48 divisors (see below), whose sum is σ = 4522540176. Its totient is φ = 755988480.

The previous prime is 2021020171. The next prime is 2021020181. The reversal of 2021020180 is 810201202.

It can be written as a sum of positive squares in 8 ways, for example, as 160478224 + 1860541956 = 12668^2 + 43134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021020181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34450 + ... + 72310.

It is an arithmetic number, because the mean of its divisors is an integer number (94219587).

Almost surely, 22021020180 is an apocalyptic number.

2021020180 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 2021020180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261270088).

2021020180 is an abundant number, since it is smaller than the sum of its proper divisors (2501519996).

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

2021020180 is a wasteful number, since it uses less digits than its factorization.

2021020180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38044 (or 38042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2021020180 is about 44955.7580294227. The cubic root of 2021020180 is about 1264.3196370580.

Adding to 2021020180 its reverse (810201202), we get a palindrome (2831221382).

The spelling of 2021020180 in words is "two billion, twenty-one million, twenty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 26690 37861 53380 75722 151444 189305 378610 643637 757220 1287274 2574548 3218185 5944177 6436370 11888354 12872740 23776708 29720885 59441770 101051009 118883540 202102018 404204036 505255045 1010510090 2021020180