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2680 = 23567
BaseRepresentation
bin101001111000
310200021
4221320
541210
620224
710546
oct5170
93607
102680
112017
121674
1312b2
14d96
15bda
hexa78

2680 has 16 divisors (see below), whose sum is σ = 6120. Its totient is φ = 1056.

The previous prime is 2677. The next prime is 2683. The reversal of 2680 is 862.

2680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2677) and next prime (2683).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 73.

22680 is an apocalyptic number.

2680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060).

2680 is an abundant number, since it is smaller than the sum of its proper divisors (3440).

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

2680 is a wasteful number, since it uses less digits than its factorization.

2680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2680 is about 51.7687164222. The cubic root of 2680 is about 13.8902991161.

It can be divided in two parts, 26 and 80, that multiplied together give a triangular number (2080 = T64).

The spelling of 2680 in words is "two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680