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420682561 = 13172111973
BaseRepresentation
bin11001000100110…
…001101101000001
31002022120212222121
4121010301231001
51330143320221
6105424404241
713265512525
oct3104615501
91068525877
10420682561
111a6512042
12b8a76681
13692035c0
143dc29d85
1526deba41
hex19131b41

420682561 has 12 divisors (see below), whose sum is σ = 481264252. Its totient is φ = 365476608.

The previous prime is 420682523. The next prime is 420682573. The reversal of 420682561 is 165286024.

It can be written as a sum of positive squares in 6 ways, for example, as 1252161 + 419430400 = 1119^2 + 20480^2 .

It is not a de Polignac number, because 420682561 - 29 = 420682049 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420682861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52230 + ... + 59743.

Almost surely, 2420682561 is an apocalyptic number.

It is an amenable number.

420682561 is a deficient number, since it is larger than the sum of its proper divisors (60581691).

420682561 is a wasteful number, since it uses less digits than its factorization.

420682561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112020 (or 112003 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 420682561 is about 20510.5475548558. The cubic root of 420682561 is about 749.2927026651.

The spelling of 420682561 in words is "four hundred twenty million, six hundred eighty-two thousand, five hundred sixty-one".

Divisors: 1 13 17 221 289 3757 111973 1455649 1903541 24746033 32360197 420682561