Search a number
-
+
420302441 = 13173894889
BaseRepresentation
bin11001000011010…
…100111001101001
31002021212120120002
4121003110321221
51330044134231
6105412312345
713262340356
oct3103247151
91067776502
10420302441
111a6282499
12b89126b5
13690cc590
143db6b62d
1526d740cb
hex190d4e69

420302441 has 16 divisors (see below), whose sum is σ = 480589200. Its totient is φ = 364136448.

The previous prime is 420302431. The next prime is 420302447. The reversal of 420302441 is 144203024.

It can be written as a sum of positive squares in 8 ways, for example, as 2958400 + 417344041 = 1720^2 + 20429^2 .

It is not a de Polignac number, because 420302441 - 210 = 420301417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420302447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83525 + ... + 88413.

It is an arithmetic number, because the mean of its divisors is an integer number (30036825).

Almost surely, 2420302441 is an apocalyptic number.

It is an amenable number.

420302441 is a deficient number, since it is larger than the sum of its proper divisors (60286759).

420302441 is a wasteful number, since it uses less digits than its factorization.

420302441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 420302441 is about 20501.2790088814. The cubic root of 420302441 is about 749.0669528973.

Adding to 420302441 its reverse (144203024), we get a palindrome (564505465).

The spelling of 420302441 in words is "four hundred twenty million, three hundred two thousand, four hundred forty-one".

Divisors: 1 13 17 221 389 4889 5057 6613 63557 83113 85969 1080469 1901821 24723673 32330957 420302441