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4206080020 = 2251973972689
BaseRepresentation
bin1111101010110011…
…1011000000010100
3101212010111000002111
43322230323000110
532103224030040
61533210520404
7206142042652
oct37254730024
911763430074
104206080020
11186924a19a
12994736104
1352052725c
142bc879dd2
151993d0dea
hexfab3b014

4206080020 has 48 divisors (see below), whose sum is σ = 8903275920. Its totient is φ = 1669054464.

The previous prime is 4206079957. The next prime is 4206080023. The reversal of 4206080020 is 200806024.

4206080020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 4199299204 = 2604^2 + 64802^2 .

It is a super-2 number, since 2×42060800202 = 35382218269286400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4206079973 and 4206080000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206080023) 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, 1562836 + ... + 1565524.

It is an arithmetic number, because the mean of its divisors is an integer number (185484915).

Almost surely, 24206080020 is an apocalyptic number.

It is an amenable number.

4206080020 is an abundant number, since it is smaller than the sum of its proper divisors (4697195900).

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

4206080020 is a wasteful number, since it uses less digits than its factorization.

4206080020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4206080020 is about 64854.2983926278. The cubic root of 4206080020 is about 1614.2068165535.

Adding to 4206080020 its reverse (200806024), we get a palindrome (4406886044).

The spelling of 4206080020 in words is "four billion, two hundred six million, eighty thousand, twenty".

Divisors: 1 2 4 5 10 20 197 394 397 788 794 985 1588 1970 1985 2689 3940 3970 5378 7940 10756 13445 26890 53780 78209 156418 312836 391045 529733 782090 1059466 1067533 1564180 2118932 2135066 2648665 4270132 5297330 5337665 10594660 10675330 21350660 210304001 420608002 841216004 1051520005 2103040010 4206080020