Base | Representation |
---|---|
bin | 100000010000001000000 |
3 | 1222200200221 |
4 | 10002001000 |
5 | 232304312 |
6 | 34352424 |
7 | 11661100 |
oct | 4020100 |
9 | 1880627 |
10 | 1056832 |
11 | 662017 |
12 | 42b714 |
13 | 2b005a |
14 | 1d7200 |
15 | 15d207 |
hex | 102040 |
1056832 has 42 divisors (see below), whose sum is σ = 2446782. Its totient is φ = 451584.
The previous prime is 1056829. The next prime is 1056833. The reversal of 1056832 is 2386501.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 802816 + 254016 = 896^2 + 504^2 .
It is a super-2 number, since 2×10568322 = 2233787752448, which contains 22 as substring.
It is a zygodrome in base 7.
It is a junction number, because it is equal to n+sod(n) for n = 1056797 and 1056806.
It is not an unprimeable number, because it can be changed into a prime (1056833) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2968 + ... + 3304.
21056832 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 1056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223391).
1056832 is an abundant number, since it is smaller than the sum of its proper divisors (1389950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056832 is an equidigital number, since it uses as much as digits as its factorization.
1056832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 363 (or 346 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
The square root of 1056832 is about 1028.0233460384. The cubic root of 1056832 is about 101.8596043580.
The spelling of 1056832 in words is "one million, fifty-six thousand, eight hundred thirty-two".
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