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1057568 = 2533049
BaseRepresentation
bin100000010001100100000
31222201201012
410002030200
5232320233
634400052
711663201
oct4021440
91881635
101057568
11662626
12430028
132b04a5
141d75a8
1515d548
hex102320

1057568 has 12 divisors (see below), whose sum is σ = 2082150. Its totient is φ = 528768.

The previous prime is 1057561. The next prime is 1057577. The reversal of 1057568 is 8657501.

It can be written as a sum of positive squares in only one way, i.e., 1056784 + 784 = 1028^2 + 28^2 .

It is a super-2 number, since 2×10575682 = 2236900149248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 33049 = 1057568 / (1 + 0 + 5 + 7 + 5 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1057561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16493 + ... + 16556.

21057568 is an apocalyptic number.

It is an amenable number.

1057568 is a deficient number, since it is larger than the sum of its proper divisors (1024582).

1057568 is an equidigital number, since it uses as much as digits as its factorization.

1057568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33059 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1057568 is about 1028.3812522601. The cubic root of 1057568 is about 101.8832445935.

The spelling of 1057568 in words is "one million, fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 33049 66098 132196 264392 528784 1057568