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420640581 = 33143910303
BaseRepresentation
bin11001000100100…
…111011101000101
31002022111202101210
4121010213131011
51330140444311
6105423442033
713265246244
oct3104473505
91068452353
10420640581
111a6493549
12b8a56319
13691ba46a
143dc1895b
1526dde3a6
hex19127745

420640581 has 16 divisors (see below), whose sum is σ = 580321280. Its totient is φ = 270736560.

The previous prime is 420640573. The next prime is 420640589. The reversal of 420640581 is 185046024.

It is an interprime number because it is at equal distance from previous prime (420640573) and next prime (420640589).

It is not a de Polignac number, because 420640581 - 23 = 420640573 is a prime.

It is a super-2 number, since 2×4206405812 = 353876996768035122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420640589) 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, 35676 + ... + 45978.

It is an arithmetic number, because the mean of its divisors is an integer number (36270080).

Almost surely, 2420640581 is an apocalyptic number.

It is an amenable number.

420640581 is a deficient number, since it is larger than the sum of its proper divisors (159680699).

420640581 is a wasteful number, since it uses less digits than its factorization.

420640581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10776.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420640581 is about 20509.5241534269. The cubic root of 420640581 is about 749.2677778113.

The spelling of 420640581 in words is "four hundred twenty million, six hundred forty thousand, five hundred eighty-one".

Divisors: 1 3 31 93 439 1317 10303 13609 30909 40827 319393 958179 4523017 13569051 140213527 420640581