Search a number
-
+
420220020 = 223511636697
BaseRepresentation
bin11001000011000…
…000110001110100
31002021201101111110
4121003000301310
51330034020040
6105410435020
713261545153
oct3103006164
91067641443
10420220020
111a6226580
12b8892a70
13690a0bcc
143db4959a
1526d59980
hex190c0c74

420220020 has 48 divisors (see below), whose sum is σ = 1283583168. Its totient is φ = 101871360.

The previous prime is 420220001. The next prime is 420220043. The reversal of 420220020 is 20022024.

It is a happy number.

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 = 420219978 and 420220005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 317689 + ... + 319008.

It is an arithmetic number, because the mean of its divisors is an integer number (26741316).

Almost surely, 2420220020 is an apocalyptic number.

It is an amenable number.

420220020 is an abundant number, since it is smaller than the sum of its proper divisors (863363148).

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

420220020 is a wasteful number, since it uses less digits than its factorization.

420220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636720 (or 636718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 420220020 is about 20499.2687674463. The cubic root of 420220020 is about 749.0179858700.

Adding to 420220020 its reverse (20022024), we get a palindrome (440242044).

The spelling of 420220020 in words is "four hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 636697 1273394 1910091 2546788 3183485 3820182 6366970 7003667 7640364 9550455 12733940 14007334 19100910 21011001 28014668 35018335 38201820 42022002 70036670 84044004 105055005 140073340 210110010 420220020