Search a number
1048576 = 220

1048576 has 21 divisors (see below), whose sum is σ = 2097151. Its totient is φ = 524288.

The previous prime is 1048573. The next prime is 1048583. The reversal of 1048576 is 6758401.

The square root of 1048576 is 1024.

It is a perfect power (a square, a biquadrate, a 5-th power, a 10-th power, a 20-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)20.

1048576 is nontrivially palindromic in base 15.

It is an ABA number since it can be written as A⋅BA, here for A=16, B=2.

It is a Duffinian number.

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

It is not an unprimeable number, because it can be changed into a prime (1048571) by changing a digit.

In principle, a polygon with 1048576 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.

21048576 is an apocalyptic number.

1048576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1048576 is the 1024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048576

1048576 is a deficient number, since it is larger than the sum of its proper divisors (1048575).

1048576 is an frugal number, since it uses more digits than its factorization.

1048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 1048576 is about 101.5936673260.

The spelling of 1048576 in words is "one million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576