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1057024 = 284129
BaseRepresentation
bin100000010000100000000
31222200222001
410002010000
5232311044
634353344
711661463
oct4020400
91880861
101057024
11662181
1242b854
132b0177
141d72da
1515d2d4
hex102100

1057024 has 18 divisors (see below), whose sum is σ = 2110430. Its totient is φ = 528384.

The previous prime is 1057019. The next prime is 1057033. The reversal of 1057024 is 4207501.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 135424 = 960^2 + 368^2 .

It is a super-2 number, since 2×10570242 = 2234599473152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056992 and 1057010.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1809 + ... + 2320.

21057024 is an apocalyptic number.

It is an amenable number.

1057024 is a deficient number, since it is larger than the sum of its proper divisors (1053406).

1057024 is an frugal number, since it uses more digits than its factorization.

1057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 1057024 is about 1028.1167248907. The cubic root of 1057024 is about 101.8657724338.

The spelling of 1057024 in words is "one million, fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 4129 8258 16516 33032 66064 132128 264256 528512 1057024