Search a number
-
+
8160 = 253517
BaseRepresentation
bin1111111100000
3102012020
41333200
5230120
6101440
732535
oct17740
912166
108160
116149
124880
133939
142d8c
152640
hex1fe0

8160 has 48 divisors (see below), whose sum is σ = 27216. Its totient is φ = 2048.

The previous prime is 8147. The next prime is 8161. The reversal of 8160 is 618.

Adding to 8160 its reverse (618), we get a palindrome (8778).

It can be divided in two parts, 81 and 60, that added together give a palindrome (141).

8160 = 262 + 272 + ... + 342.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

8160 is an undulating number in base 13.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

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 8160.

It is not an unprimeable number, because it can be changed into a prime (8161) by changing a digit.

8160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 8160 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

28160 is an apocalyptic number.

8160 is a gapful number since it is divisible by the number (80) 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 8160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

8160 is an abundant number, since it is smaller than the sum of its proper divisors (19056).

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

8160 is a wasteful number, since it uses less digits than its factorization.

8160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8160 is about 90.3327183251. The cubic root of 8160 is about 20.1324541912.

The spelling of 8160 in words is "eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160