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442710020 = 225137161573
BaseRepresentation
bin11010011000110…
…011100000000100
31010212000222222102
4122120303200010
51401313210040
6111532451232
713653654524
oct3230634004
91125028872
10442710020
11207997655
12104319b18
13709467bc
1442b21684
1528ced515
hex1a633804

442710020 has 24 divisors (see below), whose sum is σ = 936482904. Its totient is φ = 175790336.

The previous prime is 442709963. The next prime is 442710091. The reversal of 442710020 is 20017244.

It can be written as a sum of positive squares in 4 ways, for example, as 83759104 + 358950916 = 9152^2 + 18946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442709974 and 442710001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78047 + ... + 83526.

It is an arithmetic number, because the mean of its divisors is an integer number (39020121).

Almost surely, 2442710020 is an apocalyptic number.

It is an amenable number.

442710020 is an abundant number, since it is smaller than the sum of its proper divisors (493772884).

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

442710020 is a wasteful number, since it uses less digits than its factorization.

442710020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161719 (or 161717 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 442710020 is about 21040.6753693887. The cubic root of 442710020 is about 762.1488240442.

Adding to 442710020 its reverse (20017244), we get a palindrome (462727264).

The spelling of 442710020 in words is "four hundred forty-two million, seven hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 161573 323146 646292 807865 1615730 3231460 22135501 44271002 88542004 110677505 221355010 442710020