Base | Representation |
---|---|
bin | 1000000110100000110100 |
3 | 10222220100022 |
4 | 20012200310 |
5 | 1020430303 |
6 | 113304312 |
7 | 24023630 |
oct | 10064064 |
9 | 3886308 |
10 | 2123828 |
11 | 1220733 |
12 | 865098 |
13 | 594905 |
14 | 3d3dc0 |
15 | 2be438 |
hex | 206834 |
2123828 has 24 divisors (see below), whose sum is σ = 4295424. Its totient is φ = 900000.
The previous prime is 2123791. The next prime is 2123831. The reversal of 2123828 is 8283212.
It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.
It is a d-powerful number, because it can be written as 25 + 1 + 210 + 313 + 82 + 219 + 84 .
It is a junction number, because it is equal to n+sod(n) for n = 2123797 and 2123806.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2453 + ... + 3203.
It is an arithmetic number, because the mean of its divisors is an integer number (178976).
22123828 is an apocalyptic number.
2123828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
2123828 is an abundant number, since it is smaller than the sum of its proper divisors (2171596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123828 is a wasteful number, since it uses less digits than its factorization.
2123828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 863 (or 861 counting only the distinct ones).
The product of its digits is 1536, while the sum is 26.
The square root of 2123828 is about 1457.3359255848. The cubic root of 2123828 is about 128.5404395626.
The spelling of 2123828 in words is "two million, one hundred twenty-three thousand, eight hundred twenty-eight".
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