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1057041 = 32257457
BaseRepresentation
bin100000010000100010001
31222200222200
410002010101
5232311131
634353413
711661516
oct4020421
91880880
101057041
11662197
1242b869
132b018b
141d730d
1515d2e6
hex102111

1057041 has 12 divisors (see below), whose sum is σ = 1536132. Its totient is φ = 700416.

The previous prime is 1057037. The next prime is 1057051. The reversal of 1057041 is 1407501.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 65025 = 996^2 + 255^2 .

It is not a de Polignac number, because 1057041 - 22 = 1057037 is a prime.

It is a super-2 number, since 2×10570412 = 2234671351362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057051) 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 in 11 ways as a sum of consecutive naturals, for example, 2085 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (128011).

21057041 is an apocalyptic number.

It is an amenable number.

1057041 is a deficient number, since it is larger than the sum of its proper divisors (479091).

1057041 is a wasteful number, since it uses less digits than its factorization.

1057041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1057041 is about 1028.1249924012. The cubic root of 1057041 is about 101.8663185295.

The spelling of 1057041 in words is "one million, fifty-seven thousand, forty-one".

Divisors: 1 3 9 257 457 771 1371 2313 4113 117449 352347 1057041