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1003057 = 11671361
BaseRepresentation
bin11110100111000110001
31212221221021
43310320301
5224044212
633255441
711345236
oct3647061
91787837
101003057
11625680
12404581
13291733
141c178d
1514c307
hexf4e31

1003057 has 8 divisors (see below), whose sum is σ = 1111392. Its totient is φ = 897600.

The previous prime is 1003049. The next prime is 1003087. The reversal of 1003057 is 7503001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1003057 - 23 = 1003049 is a prime.

It is a super-2 number, since 2×10030572 = 2012246690498, which contains 22 as substring.

It is a Duffinian number.

1003057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003057.

It is not an unprimeable number, because it can be changed into a prime (1003087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (138924).

21003057 is an apocalyptic number.

It is an amenable number.

1003057 is a deficient number, since it is larger than the sum of its proper divisors (108335).

1003057 is a wasteful number, since it uses less digits than its factorization.

1003057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 1003057 is about 1001.5273336260. The cubic root of 1003057 is about 100.1017963399.

Adding to 1003057 its reverse (7503001), we get a palindrome (8506058).

The spelling of 1003057 in words is "one million, three thousand, fifty-seven".

Divisors: 1 11 67 737 1361 14971 91187 1003057