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6480768 = 27372411
BaseRepresentation
bin11000101110001110000000
3110012020221110
4120232032000
53124341033
6350523320
7106041240
oct30561600
913166843
106480768
113727108
122206540
13145ba98
14c09b20
15880363
hex62e380

6480768 has 64 divisors (see below), whose sum is σ = 19681920. Its totient is φ = 1850880.

The previous prime is 6480751. The next prime is 6480781. The reversal of 6480768 is 8670846.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (307530).

Almost surely, 26480768 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 6480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840960).

6480768 is an abundant number, since it is smaller than the sum of its proper divisors (13201152).

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

6480768 is a wasteful number, since it uses less digits than its factorization.

6480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6480768 is about 2545.7352572489. The cubic root of 6480768 is about 186.4413153581.

The spelling of 6480768 in words is "six million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2411 2688 4822 7233 9644 14466 16877 19288 28932 33754 38576 50631 57864 67508 77152 101262 115728 135016 154304 202524 231456 270032 308608 405048 462912 540064 810096 925824 1080128 1620192 2160256 3240384 6480768