Base | Representation |
---|---|
bin | 100111001011111010000 |
3 | 2102020101100 |
4 | 10321133100 |
5 | 312042143 |
6 | 43304400 |
7 | 13625403 |
oct | 4713720 |
9 | 2366340 |
10 | 1284048 |
11 | 7a77a7 |
12 | 51b100 |
13 | 35c5bc |
14 | 255d3a |
15 | 1a56d3 |
hex | 1397d0 |
1284048 has 60 divisors (see below), whose sum is σ = 3705988. Its totient is φ = 414720.
The previous prime is 1284047. The next prime is 1284053. The reversal of 1284048 is 8404821.
1284048 is nontrivially palindromic in base 11.
It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 219024 = 1032^2 + 468^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1284043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5208 + ... + 5448.
21284048 is an apocalyptic number.
1284048 is a gapful number since it is divisible by the number (18) 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 1284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852994).
1284048 is an abundant number, since it is smaller than the sum of its proper divisors (2421940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1284048 is a wasteful number, since it uses less digits than its factorization.
1284048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
The square root of 1284048 is about 1133.1584178746. The cubic root of 1284048 is about 108.6910421604.
Adding to 1284048 its reverse (8404821), we get a palindrome (9688869).
The spelling of 1284048 in words is "one million, two hundred eighty-four thousand, forty-eight".
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