1024 has 11 divisors (see below), whose sum is σ = 2047. Its totient is φ = 512.

The previous prime is 1021. The next prime is 1031. The reversal of 1024 is 4201.

1024 = T_{31} + T_{32}.

The square root of 1024 is 32.

It is a perfect power (a square, a 5-th power, a 10-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{10}.

1024 is nontrivially palindromic in base 7 and base 15.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=4.

It is a Duffinian number.

1024 is an undulating number in base 15.

It is a plaindrome in base 9.

It is a nialpdrome in base 2, base 4, base 8, base 11, base 14 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 998 and 1016.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

In principle, a polygon with 1024 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

1024 is a Friedman number, since it can be written as (4-2)^10, using all its digits and the basic arithmetic operations.

1024 is the 32-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024

1024 is a deficient number, since it is larger than the sum of its proper divisors (1023).

1024 is an frugal number, since it uses more digits than its factorization.

1024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 1024 is about 10.0793683992.

Adding to 1024 its reverse (4201), we get a palindrome (5225).

The spelling of 1024 in words is "one thousand, twenty-four", and thus it is an iban number.

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