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1112085 = 325131901
BaseRepresentation
bin100001111100000010101
32002111111100
410033200111
5241041320
635500313
712311142
oct4174025
92074440
101112085
1169a587
12457699
132cc250
1420d3c9
1516e790
hex10f815

1112085 has 24 divisors (see below), whose sum is σ = 2076984. Its totient is φ = 547200.

The previous prime is 1112081. The next prime is 1112087. The reversal of 1112085 is 5802111.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 1096209 = 126^2 + 1047^2 .

It is not a de Polignac number, because 1112085 - 22 = 1112081 is a prime.

It is a Curzon number.

1112085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (86541).

21112085 is an apocalyptic number.

1112085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1112085 is a deficient number, since it is larger than the sum of its proper divisors (964899).

1112085 is a wasteful number, since it uses less digits than its factorization.

1112085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1112085 is about 1054.5544082692. The cubic root of 1112085 is about 103.6046690203.

Adding to 1112085 its reverse (5802111), we get a palindrome (6914196).

The spelling of 1112085 in words is "one million, one hundred twelve thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1901 5703 9505 17109 24713 28515 74139 85545 123565 222417 370695 1112085