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420645213 = 3280957773
BaseRepresentation
bin11001000100101…
…000100101011101
31002022111222202100
4121010220211131
51330141121323
6105423515313
713265265612
oct3104504535
91068458670
10420645213
111a6496a7a
12b8a58b39
13691bc5c1
143dc1a509
1526de0943
hex1912895d

420645213 has 12 divisors (see below), whose sum is σ = 608360220. Its totient is φ = 280078656.

The previous prime is 420645191. The next prime is 420645241. The reversal of 420645213 is 312546024.

420645213 is a `hidden beast` number, since 4 + 2 + 0 + 645 + 2 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167262489 + 253382724 = 12933^2 + 15918^2 .

It is not a de Polignac number, because 420645213 - 221 = 418548061 is a prime.

It is a super-4 number, since 4×4206452134 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420645283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21606 + ... + 36167.

It is an arithmetic number, because the mean of its divisors is an integer number (50696685).

Almost surely, 2420645213 is an apocalyptic number.

It is an amenable number.

420645213 is a deficient number, since it is larger than the sum of its proper divisors (187715007).

420645213 is a wasteful number, since it uses less digits than its factorization.

420645213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58588 (or 58585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420645213 is about 20509.6370762625. The cubic root of 420645213 is about 749.2705280576.

The spelling of 420645213 in words is "four hundred twenty million, six hundred forty-five thousand, two hundred thirteen".

Divisors: 1 3 9 809 2427 7281 57773 173319 519957 46738357 140215071 420645213