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2080 = 25513
BaseRepresentation
bin100000100000
32212001
4200200
531310
613344
76031
oct4040
92761
102080
111621
121254
13c40
14a88
1593a
hex820

2080 has 24 divisors (see below), whose sum is σ = 5292. Its totient is φ = 768.

The previous prime is 2069. The next prime is 2081. The reversal of 2080 is 802.

Adding to 2080 its reverse (802), we get a palindrome (2882).

It can be divided in two parts, 20 and 80, that multiplied together give a square (1600 = 402).

2080 = T11 + T12 + ... + T23.

It is a happy number.

2080 is a nontrivial binomial coefficient, being equal to C(65, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 144 = 44^2 + 12^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2080 is an undulating number in base 8.

It is a plaindrome in base 6.

It is a nialpdrome in base 13, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154 + ... + 166.

2080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2080 is the 64-th triangular number.

2080 is the 22-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646).

2080 is an abundant number, since it is smaller than the sum of its proper divisors (3212).

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

2080 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2079) it forms an eRAP, since the sums of their prime factors are consecutive (27 and 28).

2080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2080 is about 45.6070170040. The cubic root of 2080 is about 12.7650085977.

The spelling of 2080 in words is "two thousand, eighty".