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420444980 = 22521022249
BaseRepresentation
bin11001000011110…
…111101100110100
31002022010211002022
4121003313230310
51330113214410
6105415332312
713263503054
oct3103675464
91068124068
10420444980
111a636a59a
12b8981098
136914c417
143dba7564
1526da1455
hex190f7b34

420444980 has 12 divisors (see below), whose sum is σ = 882934500. Its totient is φ = 168177984.

The previous prime is 420444967. The next prime is 420445007. The reversal of 420444980 is 89444024.

It can be written as a sum of positive squares in 2 ways, for example, as 67831696 + 352613284 = 8236^2 + 18778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420444980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10511105 + ... + 10511144.

It is an arithmetic number, because the mean of its divisors is an integer number (73577875).

Almost surely, 2420444980 is an apocalyptic number.

It is an amenable number.

420444980 is an abundant number, since it is smaller than the sum of its proper divisors (462489520).

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

420444980 is a wasteful number, since it uses less digits than its factorization.

420444980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21022258 (or 21022256 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 420444980 is about 20504.7550582786. The cubic root of 420444980 is about 749.1516214410.

The spelling of 420444980 in words is "four hundred twenty million, four hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 21022249 42044498 84088996 105111245 210222490 420444980