Search a number
-
+
420333140 = 22521016657
BaseRepresentation
bin11001000011011…
…100011001010100
31002021221010200002
4121003130121110
51330101130030
6105413110432
713262526023
oct3103343124
91067833602
10420333140
111a62a3567
12b8928418
1369110546
143db788ba
1526d7d245
hex190dc654

420333140 has 12 divisors (see below), whose sum is σ = 882699636. Its totient is φ = 168133248.

The previous prime is 420333131. The next prime is 420333191. The reversal of 420333140 is 41333024.

It can be written as a sum of positive squares in 2 ways, for example, as 253510084 + 166823056 = 15922^2 + 12916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 21016657 = 420333140 / (4 + 2 + 0 + 3 + 3 + 3 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10508309 + ... + 10508348.

It is an arithmetic number, because the mean of its divisors is an integer number (73558303).

Almost surely, 2420333140 is an apocalyptic number.

It is an amenable number.

420333140 is an abundant number, since it is smaller than the sum of its proper divisors (462366496).

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

420333140 is a wasteful number, since it uses less digits than its factorization.

420333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21016666 (or 21016664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 420333140 is about 20502.0277045955. The cubic root of 420333140 is about 749.0851898019.

Adding to 420333140 its reverse (41333024), we get a palindrome (461666164).

The spelling of 420333140 in words is "four hundred twenty million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 21016657 42033314 84066628 105083285 210166570 420333140