Base | Representation |
---|---|
bin | 111100100011000100000 |
3 | 10201210120200 |
4 | 13210120200 |
5 | 1001442112 |
6 | 110305200 |
7 | 22602231 |
oct | 7443040 |
9 | 3653520 |
10 | 1984032 |
11 | 11356a6 |
12 | 7b8200 |
13 | 5460ab |
14 | 399088 |
15 | 292cdc |
hex | 1e4620 |
1984032 has 54 divisors (see below), whose sum is σ = 5710887. Its totient is φ = 653376.
The previous prime is 1984013. The next prime is 1984039. The reversal of 1984032 is 2304891.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 992016 + 992016 = 996^2 + 996^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=996.
It is a junction number, because it is equal to n+sod(n) for n = 1983987 and 1984005.
It is not an unprimeable number, because it can be changed into a prime (1984039) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23863 + ... + 23945.
21984032 is an apocalyptic number.
1984032 is a gapful number since it is divisible by the number (12) 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 1984032
1984032 is an abundant number, since it is smaller than the sum of its proper divisors (3726855).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1984032 is an equidigital number, since it uses as much as digits as its factorization.
1984032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1984032 is about 1408.5567081236. The cubic root of 1984032 is about 125.6559016578.
The spelling of 1984032 in words is "one million, nine hundred eighty-four thousand, thirty-two".
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