Base | Representation |
---|---|
bin | 111111100010011… |
… | …1011111010100100 |
3 | 12111120201211202112 |
4 | 1333010323322210 |
5 | 13331243003140 |
6 | 551320100152 |
7 | 103555463444 |
oct | 17704737244 |
9 | 5446654675 |
10 | 2132000420 |
11 | 9a4505520 |
12 | 4b6004658 |
13 | 27c913514 |
14 | 16321a124 |
15 | c7288c65 |
hex | 7f13bea4 |
2132000420 has 48 divisors (see below), whose sum is σ = 4906234368. Its totient is φ = 771778560.
The previous prime is 2132000411. The next prime is 2132000441. The reversal of 2132000420 is 240002312.
It is a junction number, because it is equal to n+sod(n) for n = 2132000395 and 2132000404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27332 + ... + 70788.
It is an arithmetic number, because the mean of its divisors is an integer number (102213216).
Almost surely, 22132000420 is an apocalyptic number.
2132000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453117184).
2132000420 is an abundant number, since it is smaller than the sum of its proper divisors (2774233948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132000420 is a wasteful number, since it uses less digits than its factorization.
2132000420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43700 (or 43698 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2132000420 is about 46173.5900705154. The cubic root of 2132000420 is about 1287.0510166013.
Adding to 2132000420 its reverse (240002312), we get a palindrome (2372002732).
The spelling of 2132000420 in words is "two billion, one hundred thirty-two million, four hundred twenty", and thus it is an aban number.
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