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420024020 = 225131615477
BaseRepresentation
bin11001000010010…
…000111011010100
31002021100102122012
4121002100323110
51330011232040
6105402323352
713260100553
oct3102207324
91067312565
10420024020
111a6102299
12b87b9558
1369032930
143dad7d9a
1526d1b865
hex19090ed4

420024020 has 24 divisors (see below), whose sum is σ = 949901064. Its totient is φ = 155085696.

The previous prime is 420023987. The next prime is 420024029. The reversal of 420024020 is 20420024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101687056 + 318336964 = 10084^2 + 17842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420023986 and 420024004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420024029) 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, 807479 + ... + 807998.

It is an arithmetic number, because the mean of its divisors is an integer number (39579211).

Almost surely, 2420024020 is an apocalyptic number.

It is an amenable number.

420024020 is an abundant number, since it is smaller than the sum of its proper divisors (529877044).

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

420024020 is a wasteful number, since it uses less digits than its factorization.

420024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615499 (or 1615497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420024020 is about 20494.4875515344. The cubic root of 420024020 is about 748.9015148556.

Adding to 420024020 its reverse (20420024), we get a palindrome (440444044).

The spelling of 420024020 in words is "four hundred twenty million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1615477 3230954 6461908 8077385 16154770 21001201 32309540 42002402 84004804 105006005 210012010 420024020