| Base | Representation |
|---|---|
| bin | 111111100011000… |
| … | …1110111001100000 |
| 3 | 12111121101010000102 |
| 4 | 1333012032321200 |
| 5 | 13331334342240 |
| 6 | 551331241532 |
| 7 | 103561410425 |
| oct | 17706167140 |
| 9 | 5447333012 |
| 10 | 2132340320 |
| 11 | 9a4717930 |
| 12 | 4b61492a8 |
| 13 | 27ca02146 |
| 14 | 1632a7d4c |
| 15 | c7304815 |
| hex | 7f18ee60 |
2132340320 has 96 divisors (see below), whose sum is σ = 5557779360. Its totient is φ = 766627840.
The previous prime is 2132340319. The next prime is 2132340323. The reversal of 2132340320 is 230432312.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2132340292 and 2132340301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132340323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149834 + ... + 163446.
It is an arithmetic number, because the mean of its divisors is an integer number (57893535).
Almost surely, 22132340320 is an apocalyptic number.
2132340320 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 2132340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778889680).
2132340320 is an abundant number, since it is smaller than the sum of its proper divisors (3425439040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132340320 is a wasteful number, since it uses less digits than its factorization.
2132340320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13728 (or 13720 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 2132340320 is about 46177.2705992894. The cubic root of 2132340320 is about 1287.1194101767.
Adding to 2132340320 its reverse (230432312), we get a palindrome (2362772632).
The spelling of 2132340320 in words is "two billion, one hundred thirty-two million, three hundred forty thousand, three hundred twenty".
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