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420870065 = 57211214197
BaseRepresentation
bin11001000101011…
…111011110110001
31002022221102012012
4121011133132301
51330220320230
6105432412305
713300223300
oct3105373661
91068842165
10420870065
111a662aa00
12b8b47095
136926aa55
143dc78437
1526e37395
hex1915f7b1

420870065 has 36 divisors (see below), whose sum is σ = 645810228. Its totient is φ = 262342080.

The previous prime is 420870041. The next prime is 420870067. The reversal of 420870065 is 560078024.

420870065 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 319122496 + 101747569 = 17864^2 + 10087^2 .

It is not a de Polignac number, because 420870065 - 26 = 420870001 is a prime.

It is a super-2 number, since 2×4208700652 = 354263223226208450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420870067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22547 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (17939173).

Almost surely, 2420870065 is an apocalyptic number.

It is an amenable number.

420870065 is a deficient number, since it is larger than the sum of its proper divisors (224940163).

420870065 is a wasteful number, since it uses less digits than its factorization.

420870065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 420870065 is about 20515.1179621273. The cubic root of 420870065 is about 749.4040094822.

The spelling of 420870065 in words is "four hundred twenty million, eight hundred seventy thousand, sixty-five".

Divisors: 1 5 7 11 35 49 55 77 121 245 385 539 605 847 2695 4235 5929 14197 29645 70985 99379 156167 496895 695653 780835 1093169 1717837 3478265 5465845 7652183 8589185 12024859 38260915 60124295 84174013 420870065