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420300820 = 22521015041
BaseRepresentation
bin11001000011010…
…100100000010100
31002021212111100001
4121003110200110
51330044111240
6105412301044
713262332552
oct3103244024
91067774301
10420300820
111a6281255
12b8911784
13690cb914
143db6abd2
1526d7389a
hex190d4814

420300820 has 12 divisors (see below), whose sum is σ = 882631764. Its totient is φ = 168120320.

The previous prime is 420300763. The next prime is 420300823. The reversal of 420300820 is 28003024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 262245636 + 158055184 = 16194^2 + 12572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420300823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10507501 + ... + 10507540.

It is an arithmetic number, because the mean of its divisors is an integer number (73552647).

Almost surely, 2420300820 is an apocalyptic number.

It is an amenable number.

420300820 is an abundant number, since it is smaller than the sum of its proper divisors (462330944).

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

420300820 is a wasteful number, since it uses less digits than its factorization.

420300820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21015050 (or 21015048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420300820 is about 20501.2394747244. The cubic root of 420300820 is about 749.0659899090.

Adding to 420300820 its reverse (28003024), we get a palindrome (448303844).

The spelling of 420300820 in words is "four hundred twenty million, three hundred thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 21015041 42030082 84060164 105075205 210150410 420300820