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2093 = 71323
BaseRepresentation
bin100000101101
32212112
4200231
531333
613405
76050
oct4055
92775
102093
111633
121265
13c50
14a97
15948
hex82d

2093 has 8 divisors (see below), whose sum is σ = 2688. Its totient is φ = 1584.

The previous prime is 2089. The next prime is 2099. The reversal of 2093 is 3902.

Adding to 2093 its reverse (3902), we get a palindrome (5995).

It can be divided in two parts, 209 and 3, that added together give a palindrome (212).

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 2093 - 22 = 2089 is a prime.

It is an Ulam number.

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2093.

It is not an unprimeable number, because it can be changed into a prime (2099) 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 7 ways as a sum of consecutive naturals, for example, 80 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2093 is a deficient number, since it is larger than the sum of its proper divisors (595).

2093 is a wasteful number, since it uses less digits than its factorization.

2093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2093 is about 45.7493169348. The cubic root of 2093 is about 12.7915471535.

The spelling of 2093 in words is "two thousand, ninety-three".

Divisors: 1 7 13 23 91 161 299 2093