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420205431 = 3241581197
BaseRepresentation
bin11001000010111…
…101001101110111
31002021200122111010
4121002331031313
51330033033211
6105410243303
713261454502
oct3102751567
91067618433
10420205431
111a6216618
12b8886533
1369097389
143db44139
1526d554a6
hex190bd377

420205431 has 8 divisors (see below), whose sum is σ = 562599664. Its totient is φ = 278974080.

The previous prime is 420205421. The next prime is 420205453. The reversal of 420205431 is 134502024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-420205431 is a prime.

It is a super-2 number, since 2×4202054312 = 353145208483791522, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 420205398 and 420205407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420205421) 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 7 ways as a sum of consecutive naturals, for example, 289876 + ... + 291321.

It is an arithmetic number, because the mean of its divisors is an integer number (70324958).

Almost surely, 2420205431 is an apocalyptic number.

420205431 is a deficient number, since it is larger than the sum of its proper divisors (142394233).

420205431 is a wasteful number, since it uses less digits than its factorization.

420205431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581441.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420205431 is about 20498.9129223966. The cubic root of 420205431 is about 749.0093177522.

Adding to 420205431 its reverse (134502024), we get a palindrome (554707455).

The spelling of 420205431 in words is "four hundred twenty million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 3 241 723 581197 1743591 140068477 420205431