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420170020 = 22521008501
BaseRepresentation
bin11001000010110…
…100100100100100
31002021121211220121
4121002310210210
51330030420040
6105405411324
713261246324
oct3102644444
91067554817
10420170020
111a61a1a56
12b8869b44
136908421a
143db35284
1526d49c4a
hex190b4924

420170020 has 12 divisors (see below), whose sum is σ = 882357084. Its totient is φ = 168068000.

The previous prime is 420169921. The next prime is 420170021. The reversal of 420170020 is 20071024.

It can be written as a sum of positive squares in 2 ways, for example, as 313502436 + 106667584 = 17706^2 + 10328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420169976 and 420170003.

It is not an unprimeable number, because it can be changed into a prime (420170021) 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 3 ways as a sum of consecutive naturals, for example, 10504231 + ... + 10504270.

It is an arithmetic number, because the mean of its divisors is an integer number (73529757).

Almost surely, 2420170020 is an apocalyptic number.

It is an amenable number.

420170020 is an abundant number, since it is smaller than the sum of its proper divisors (462187064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420170020 is a wasteful number, since it uses less digits than its factorization.

420170020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21008510 (or 21008508 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 420170020 is about 20498.0491754703. The cubic root of 420170020 is about 748.9882773181.

The spelling of 420170020 in words is "four hundred twenty million, one hundred seventy thousand, twenty".

Divisors: 1 2 4 5 10 20 21008501 42017002 84034004 105042505 210085010 420170020