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6480000 = 273454
BaseRepresentation
bin11000101110000010000000
3110012012220000
4120232002000
53124330000
6350520000
7106036062
oct30560200
913165800
106480000
11372657a
122206000
13145b627
14c09732
15880000
hex62e080

6480000 has 200 divisors, whose sum is σ = 24097755. Its totient is φ = 1728000.

The previous prime is 6479999. The next prime is 6480011. The reversal of 6480000 is 846.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1498176 + 4981824 = 1224^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1800.

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1295998 + ... + 1296002.

Almost surely, 26480000 is an apocalyptic number.

6480000 is a gapful number since it is divisible by the number (60) 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 6480000

6480000 is an abundant number, since it is smaller than the sum of its proper divisors (17617755).

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

6480000 is an frugal number, since it uses more digits than its factorization.

6480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

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

The square root of 6480000 is about 2545.5844122716. The cubic root of 6480000 is about 186.4339503572.

Multiplying 6480000 by its sum of digits (18), we get a square (116640000 = 108002).

6480000 divided by its sum of digits (18) gives a square (360000 = 6002).

Adding to 6480000 its reverse (846), we get a palindrome (6480846).

The spelling of 6480000 in words is "six million, four hundred eighty thousand".