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420430240 = 2552627689
BaseRepresentation
bin11001000011110…
…100000110100000
31002022010001212101
4121003310012200
51330112231430
6105415140144
713263412066
oct3103640640
91068101771
10420430240
111a635a50a
12b8974654
13691457b9
143dba2036
1526d9bdca
hex190f41a0

420430240 has 24 divisors (see below), whose sum is σ = 993266820. Its totient is φ = 168172032.

The previous prime is 420430211. The next prime is 420430249. The reversal of 420430240 is 42034024.

It can be written as a sum of positive squares in 2 ways, for example, as 404653456 + 15776784 = 20116^2 + 3972^2 .

It is not an unprimeable number, because it can be changed into a prime (420430249) 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, 1313685 + ... + 1314004.

Almost surely, 2420430240 is an apocalyptic number.

420430240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420430240 is an abundant number, since it is smaller than the sum of its proper divisors (572836580).

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

420430240 is a wasteful number, since it uses less digits than its factorization.

420430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627704 (or 2627696 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 420430240 is about 20504.3956263041. The cubic root of 420430240 is about 749.1428667292.

Adding to 420430240 its reverse (42034024), we get a palindrome (462464264).

The spelling of 420430240 in words is "four hundred twenty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2627689 5255378 10510756 13138445 21021512 26276890 42043024 52553780 84086048 105107560 210215120 420430240