Search a number
-
+
420242041 = 3720895437
BaseRepresentation
bin11001000011000…
…110001001111001
31002021202111201001
4121003012021321
51330040221131
6105411125001
713261666312
oct3103061171
91067674631
10420242041
111a624107a
12b88a3761
13690aac3b
143db53609
1526d61261
hex190c6279

420242041 has 8 divisors (see below), whose sum is σ = 431885960. Its totient is φ = 408613248.

The previous prime is 420242029. The next prime is 420242047. The reversal of 420242041 is 140242024.

It can be written as a sum of positive squares in 4 ways, for example, as 245235600 + 175006441 = 15660^2 + 13229^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 420242041 - 29 = 420241529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420242047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74575 + ... + 80011.

It is an arithmetic number, because the mean of its divisors is an integer number (53985745).

Almost surely, 2420242041 is an apocalyptic number.

It is an amenable number.

420242041 is a deficient number, since it is larger than the sum of its proper divisors (11643919).

420242041 is a wasteful number, since it uses less digits than its factorization.

420242041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563.

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 420242041 is about 20499.8058771297. The cubic root of 420242041 is about 749.0310693629.

Adding to 420242041 its reverse (140242024), we get a palindrome (560484065).

The spelling of 420242041 in words is "four hundred twenty million, two hundred forty-two thousand, forty-one".

Divisors: 1 37 2089 5437 77293 201169 11357893 420242041