Search a number
-
+
420235729 is a prime number
BaseRepresentation
bin11001000011000…
…100100111010001
31002021202012001021
4121003010213101
51330040020404
6105411035441
713261642024
oct3103044721
91067665037
10420235729
111a6237361
12b889bb81
13690a80c4
143db511bb
1526d5e454
hex190c49d1

420235729 has 2 divisors, whose sum is σ = 420235730. Its totient is φ = 420235728.

The previous prime is 420235727. The next prime is 420235741. The reversal of 420235729 is 927532024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404814400 + 15421329 = 20120^2 + 3927^2 .

It is a cyclic number.

It is not a de Polignac number, because 420235729 - 21 = 420235727 is a prime.

It is a super-2 number, since 2×4202357292 = 353196135856322882, which contains 22 as substring.

Together with 420235727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 420235694 and 420235703.

It is not a weakly prime, because it can be changed into another prime (420235727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210117864 + 210117865.

It is an arithmetic number, because the mean of its divisors is an integer number (210117865).

Almost surely, 2420235729 is an apocalyptic number.

It is an amenable number.

420235729 is a deficient number, since it is larger than the sum of its proper divisors (1).

420235729 is an equidigital number, since it uses as much as digits as its factorization.

420235729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 420235729 is about 20499.6519238742. The cubic root of 420235729 is about 749.0273192163.

The spelling of 420235729 in words is "four hundred twenty million, two hundred thirty-five thousand, seven hundred twenty-nine".