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1057369 = 19229101
BaseRepresentation
bin100000010001001011001
31222201102211
410002021121
5232313434
634355121
711662465
oct4021131
91881384
101057369
11662465
1242baa1
132b0381
141d74a5
1515d464
hex102259

1057369 has 12 divisors (see below), whose sum is σ = 1165860. Its totient is φ = 957600.

The previous prime is 1057367. The next prime is 1057387. The reversal of 1057369 is 9637501.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 225625 = 912^2 + 475^2 .

It is not a de Polignac number, because 1057369 - 21 = 1057367 is a prime.

It is a super-2 number, since 2×10573692 = 2236058404322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057369.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10419 + ... + 10519.

It is an arithmetic number, because the mean of its divisors is an integer number (97155).

21057369 is an apocalyptic number.

1057369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1057369 is a deficient number, since it is larger than the sum of its proper divisors (108491).

1057369 is a wasteful number, since it uses less digits than its factorization.

1057369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 1057369 is about 1028.2844937078. The cubic root of 1057369 is about 101.8768538185.

The spelling of 1057369 in words is "one million, fifty-seven thousand, three hundred sixty-nine".

Divisors: 1 19 29 101 361 551 1919 2929 10469 36461 55651 1057369