Search a number
-
+
2160 = 24335
BaseRepresentation
bin100001110000
32222000
4201300
532120
614000
76204
oct4160
92860
102160
111694
121300
13ca2
14b04
15990
hex870

2160 has 40 divisors (see below), whose sum is σ = 7440. Its totient is φ = 576.

The previous prime is 2153. The next prime is 2161. The reversal of 2160 is 612.

Adding to 2160 its reverse (612), we get a palindrome (2772).

It can be divided in two parts, 21 and 60, that added together give a 4-th power (81 = 34).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 3, base 13, base 15 and base 16.

It is a zygodrome in base 3.

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 2160.

It is not an unprimeable number, because it can be changed into a prime (2161) 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, 430 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (186).

22160 is an apocalyptic number.

2160 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 2160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

2160 is an abundant number, since it is smaller than the sum of its proper divisors (5280).

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

2160 is a wasteful number, since it uses less digits than its factorization.

2160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2160 is about 46.4758001545. The cubic root of 2160 is about 12.9266081402.

The spelling of 2160 in words is "two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160