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420402017 = 728579633
BaseRepresentation
bin11001000011101…
…101001101100001
31002022001122011002
4121003231031201
51330110331032
6105414401345
713263233600
oct3103551541
91068048132
10420402017
111a6340292
12b8960255
13691359b9
143db95a37
1526d93862
hex190ed361

420402017 has 6 divisors (see below), whose sum is σ = 489039138. Its totient is φ = 360344544.

The previous prime is 420402001. The next prime is 420402023. The reversal of 420402017 is 710204024.

It can be written as a sum of positive squares in only one way, i.e., 248503696 + 171898321 = 15764^2 + 13111^2 .

It is not a de Polignac number, because 420402017 - 24 = 420402001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420402017.

It is not an unprimeable number, because it can be changed into a prime (420402517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4289768 + ... + 4289865.

It is an arithmetic number, because the mean of its divisors is an integer number (81506523).

Almost surely, 2420402017 is an apocalyptic number.

It is an amenable number.

420402017 is a deficient number, since it is larger than the sum of its proper divisors (68637121).

420402017 is an equidigital number, since it uses as much as digits as its factorization.

420402017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579647 (or 8579640 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 420402017 is about 20503.7073964686. The cubic root of 420402017 is about 749.1261033201.

The spelling of 420402017 in words is "four hundred twenty million, four hundred two thousand, seventeen".

Divisors: 1 7 49 8579633 60057431 420402017