Search a number
-
+
6480 = 24345
BaseRepresentation
bin1100101010000
322220000
41211100
5201410
650000
724615
oct14520
98800
106480
114961
123900
132c46
14250c
151dc0
hex1950

6480 has 50 divisors (see below), whose sum is σ = 22506. Its totient is φ = 1728.

The previous prime is 6473. The next prime is 6481. The reversal of 6480 is 846.

It can be divided in two parts, 64 and 80, that added together give a square (144 = 122).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 1296 = 72^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3, base 6 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481) by changing a digit.

6480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1294 + ... + 1298.

26480 is an apocalyptic number.

6480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 80×81.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253).

6480 is an abundant number, since it is smaller than the sum of its proper divisors (16026).

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

6480 is a wasteful number, since it uses less digits than its factorization.

6480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6480 is about 80.4984471900. The cubic root of 6480 is about 18.6433950357.

The spelling of 6480 in words is "six thousand, four hundred eighty".

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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480