Search a number
-
+
2021410420 = 2251009100169
BaseRepresentation
bin111100001111100…
…0100011001110100
312012212122021210121
41320133010121310
513114440113140
6532325501324
7101043463561
oct17037043164
95185567717
102021410420
11948040627
12484b71844
13262a32753
1415266d868
15bc6e164a
hex787c4674

2021410420 has 24 divisors (see below), whose sum is σ = 4249211400. Its totient is φ = 807754752.

The previous prime is 2021410411. The next prime is 2021410421. The reversal of 2021410420 is 240141202.

It can be written as a sum of positive squares in 4 ways, for example, as 28323684 + 1993086736 = 5322^2 + 44644^2 .

It is a super-2 number, since 2×20214104202 = 8172200172169152800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2021410394 and 2021410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021410421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29905 + ... + 70264.

It is an arithmetic number, because the mean of its divisors is an integer number (177050475).

Almost surely, 22021410420 is an apocalyptic number.

2021410420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021410420 is an abundant number, since it is smaller than the sum of its proper divisors (2227800980).

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

2021410420 is a wasteful number, since it uses less digits than its factorization.

2021410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101187 (or 101185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2021410420 is about 44960.0980870816. The cubic root of 2021410420 is about 1264.4010079001.

Adding to 2021410420 its reverse (240141202), we get a palindrome (2261551622).

The spelling of 2021410420 in words is "two billion, twenty-one million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1009 2018 4036 5045 10090 20180 100169 200338 400676 500845 1001690 2003380 101070521 202141042 404282084 505352605 1010705210 2021410420