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6468 = 2237211
BaseRepresentation
bin1100101000100
322212120
41211010
5201333
645540
724600
oct14504
98776
106468
114950
1238b0
132c37
142500
151db3
hex1944

6468 has 36 divisors (see below), whose sum is σ = 19152. Its totient is φ = 1680.

The previous prime is 6451. The next prime is 6469. The reversal of 6468 is 8646.

Its product of digits (1152) is a multiple of the sum of its prime factors (32).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 583 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

26468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576).

6468 is an abundant number, since it is smaller than the sum of its proper divisors (12684).

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

6468 is a wasteful number, since it uses less digits than its factorization.

6468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 23 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6468 is about 80.4238770515. The cubic root of 6468 is about 18.6318796560.

It can be divided in two parts, 6 and 468, that added together give a palindrome (474).

The spelling of 6468 in words is "six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468