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2090 = 251119
BaseRepresentation
bin100000101010
32212102
4200222
531330
613402
76044
oct4052
92772
102090
111630
121262
13c4a
14a94
15945
hex82a

2090 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 720.

The previous prime is 2089. The next prime is 2099. The reversal of 2090 is 902.

2090 divided by its sum of digits (11) gives a triangular number (190 = T19).

Adding to 2090 its reverse (902), we get a palindrome (2992).

2090 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an Ulam number.

2090 is a modest number, since divided by 90 gives 20 as remainder.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

2090 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).

2090 is a wasteful number, since it uses less digits than its factorization.

2090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2090 is about 45.7165178026. The cubic root of 2090 is about 12.7854326463.

The spelling of 2090 in words is "two thousand, ninety".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 1045 2090