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1082133 = 33133083
BaseRepresentation
bin100001000001100010101
32000222102000
410020030111
5234112013
635105513
712124623
oct4101425
92028360
101082133
1167a028
12442299
132bb720
14202513
15165973
hex108315

1082133 has 16 divisors (see below), whose sum is σ = 1727040. Its totient is φ = 665712.

The previous prime is 1082129. The next prime is 1082141. The reversal of 1082133 is 3312801.

It is not a de Polignac number, because 1082133 - 22 = 1082129 is a prime.

1082133 is a lucky number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082143) 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 15 ways as a sum of consecutive naturals, for example, 1191 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (107940).

21082133 is an apocalyptic number.

1082133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1082133 is a deficient number, since it is larger than the sum of its proper divisors (644907).

1082133 is a wasteful number, since it uses less digits than its factorization.

1082133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1082133 is about 1040.2562184385. The cubic root of 1082133 is about 102.6660564327. Note that the first 3 decimals are identical.

Adding to 1082133 its reverse (3312801), we get a palindrome (4394934).

The spelling of 1082133 in words is "one million, eighty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 3083 9249 27747 40079 83241 120237 360711 1082133