Search a number
-
+
420566561 = 418321489
BaseRepresentation
bin11001000100010…
…101011000100001
31002022100222212022
4121010111120201
51330131112221
6105422111225
713264520402
oct3104253041
91068328768
10420566561
111a6442978
12b8a1b515
136919286c
143dbd99a9
1526dc74ab
hex19115621

420566561 has 12 divisors (see below), whose sum is σ = 436370340. Its totient is φ = 405093120.

The previous prime is 420566543. The next prime is 420566567. The reversal of 420566561 is 165665024.

It can be written as a sum of positive squares in 2 ways, for example, as 49773025 + 370793536 = 7055^2 + 19256^2 .

It is not a de Polignac number, because 420566561 - 226 = 353457697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420566567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281705 + ... + 283193.

It is an arithmetic number, because the mean of its divisors is an integer number (36364195).

Almost surely, 2420566561 is an apocalyptic number.

420566561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420566561 is a deficient number, since it is larger than the sum of its proper divisors (15803779).

420566561 is an equidigital number, since it uses as much as digits as its factorization.

420566561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 420566561 is about 20507.7195465512. The cubic root of 420566561 is about 749.2238257559.

The spelling of 420566561 in words is "four hundred twenty million, five hundred sixty-six thousand, five hundred sixty-one".

Divisors: 1 41 83 1489 3403 6889 61049 123587 282449 5067067 10257721 420566561