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413020420 = 22520651021
BaseRepresentation
bin11000100111100…
…011000100000100
31001210011121111121
4120213203010010
51321213123140
6104552243324
713143421111
oct3047430404
91053147447
10413020420
111a215939a
12b63a0544
136774cba7
143cbd3908
15263d664a
hex189e3104

413020420 has 12 divisors (see below), whose sum is σ = 867342924. Its totient is φ = 165208160.

The previous prime is 413020393. The next prime is 413020427. The reversal of 413020420 is 24020314.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 332989504 = 8946^2 + 18248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413020394 and 413020403.

It is not an unprimeable number, because it can be changed into a prime (413020427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10325491 + ... + 10325530.

It is an arithmetic number, because the mean of its divisors is an integer number (72278577).

Almost surely, 2413020420 is an apocalyptic number.

It is an amenable number.

413020420 is an abundant number, since it is smaller than the sum of its proper divisors (454322504).

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

413020420 is a wasteful number, since it uses less digits than its factorization.

413020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651030 (or 20651028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 413020420 is about 20322.9038279474. The cubic root of 413020420 is about 744.7156971140.

Adding to 413020420 its reverse (24020314), we get a palindrome (437040734).

The spelling of 413020420 in words is "four hundred thirteen million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 20651021 41302042 82604084 103255105 206510210 413020420