Search a number
-
+
420130020 = 22357002167
BaseRepresentation
bin11001000010101…
…010110011100100
31002021112211001010
4121002222303210
51330023130040
6105404502220
713261021602
oct3102526344
91067484033
10420130020
111a61749a2
12b884a970
136906bc5b
143db24872
1526d3ce80
hex190aace4

420130020 has 24 divisors (see below), whose sum is σ = 1176364224. Its totient is φ = 112034656.

The previous prime is 420130019. The next prime is 420130021. The reversal of 420130020 is 20031024.

It is an interprime number because it is at equal distance from previous prime (420130019) and next prime (420130021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 420129978 and 420130005.

It is not an unprimeable number, because it can be changed into a prime (420130021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3501024 + ... + 3501143.

It is an arithmetic number, because the mean of its divisors is an integer number (49015176).

Almost surely, 2420130020 is an apocalyptic number.

It is an amenable number.

420130020 is an abundant number, since it is smaller than the sum of its proper divisors (756234204).

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

420130020 is a wasteful number, since it uses less digits than its factorization.

420130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002179 (or 7002177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420130020 is about 20497.0734496415. The cubic root of 420130020 is about 748.9645087796.

Adding to 420130020 its reverse (20031024), we get a palindrome (440161044).

The spelling of 420130020 in words is "four hundred twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7002167 14004334 21006501 28008668 35010835 42013002 70021670 84026004 105032505 140043340 210065010 420130020