Search a number
-
+
2720 = 25517
BaseRepresentation
bin101010100000
310201202
4222200
541340
620332
710634
oct5240
93652
102720
112053
1216a8
131313
14dc4
15c15
hexaa0

2720 has 24 divisors (see below), whose sum is σ = 6804. Its totient is φ = 1024.

The previous prime is 2719. The next prime is 2729. The reversal of 2720 is 272.

Adding to 2720 its reverse (272), we get a palindrome (2992).

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 16 = 52^2 + 4^2 .

2720 is an undulating number in base 13.

It is a nialpdrome in base 4, base 14 and base 16.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2720.

It is not an unprimeable number, because it can be changed into a prime (2729) by changing a digit.

In principle, a polygon with 2720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 168.

2720 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 2720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402).

2720 is an abundant number, since it is smaller than the sum of its proper divisors (4084).

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

2720 is a wasteful number, since it uses less digits than its factorization.

2720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 2720 is about 52.1536192416. The cubic root of 2720 is about 13.9590640938.

The spelling of 2720 in words is "two thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720