Base | Representation |
---|---|
bin | 1010110101100100000000 |
3 | 12100022220000 |
4 | 22311210000 |
5 | 1211401312 |
6 | 140520000 |
7 | 33101211 |
oct | 12654400 |
9 | 5308800 |
10 | 2840832 |
11 | 16703a5 |
12 | b50000 |
13 | 786087 |
14 | 53d408 |
15 | 3b1adc |
hex | 2b5900 |
2840832 has 90 divisors (see below), whose sum is σ = 8532678. Its totient is φ = 940032.
The previous prime is 2840801. The next prime is 2840857. The reversal of 2840832 is 2380482.
It can be written as a sum of positive squares in only one way, i.e., 2509056 + 331776 = 1584^2 + 576^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 2840796 and 2840805.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20668 + ... + 20804.
22840832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266339).
2840832 is an abundant number, since it is smaller than the sum of its proper divisors (5691846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2840832 is an equidigital number, since it uses as much as digits as its factorization.
2840832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 165 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 2840832 is about 1685.4767871436. The cubic root of 2840832 is about 141.6278026418.
The spelling of 2840832 in words is "two million, eight hundred forty thousand, eight hundred thirty-two".
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