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420214005 = 32520834483
BaseRepresentation
bin11001000010111…
…111010011110101
31002021201002020200
4121002333103311
51330033322010
6105410351113
713261521501
oct3102772365
91067632220
10420214005
111a6222002
12b888b499
136909b253
143db47301
1526d57cc0
hex190bf4f5

420214005 has 24 divisors (see below), whose sum is σ = 728883168. Its totient is φ = 223956576.

The previous prime is 420213971. The next prime is 420214009. The reversal of 420214005 is 500412024.

It is not a de Polignac number, because 420214005 - 225 = 386659573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420214009) 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 23 ways as a sum of consecutive naturals, for example, 91494 + ... + 95976.

It is an arithmetic number, because the mean of its divisors is an integer number (30370132).

Almost surely, 2420214005 is an apocalyptic number.

420214005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420214005 is a deficient number, since it is larger than the sum of its proper divisors (308669163).

420214005 is a wasteful number, since it uses less digits than its factorization.

420214005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420214005 is about 20499.1220543710. The cubic root of 420214005 is about 749.0144120559.

Adding to 420214005 its reverse (500412024), we get a palindrome (920626029).

The spelling of 420214005 in words is "four hundred twenty million, two hundred fourteen thousand, five".

Divisors: 1 3 5 9 15 45 2083 4483 6249 10415 13449 18747 22415 31245 40347 67245 93735 201735 9338089 28014267 46690445 84042801 140071335 420214005