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6305728 = 261113253
BaseRepresentation
bin11000000011011111000000
3102212100211111
4120003133000
53103240403
6343053104
7104412022
oct30033700
912770744
106305728
113617650
122141194
1313ca200
14ba2012
1584856d
hex6037c0

6305728 has 84 divisors (see below), whose sum is σ = 15060168. Its totient is φ = 2595840.

The previous prime is 6305711. The next prime is 6305729. The reversal of 6305728 is 8275036.

It is a self number, because there is not a number n which added to its sum of digits gives 6305728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6305729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118950 + ... + 119002.

Almost surely, 26305728 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 6305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530084).

6305728 is an abundant number, since it is smaller than the sum of its proper divisors (8754440).

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

6305728 is a wasteful number, since it uses less digits than its factorization.

6305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 6305728 is about 2511.1208652711. The cubic root of 6305728 is about 184.7474323099.

The spelling of 6305728 in words is "six million, three hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 88 104 106 143 169 176 208 212 286 338 352 416 424 572 583 676 689 704 832 848 1144 1166 1352 1378 1696 1859 2288 2332 2704 2756 3392 3718 4576 4664 5408 5512 7436 7579 8957 9152 9328 10816 11024 14872 15158 17914 18656 22048 29744 30316 35828 37312 44096 59488 60632 71656 98527 118976 121264 143312 197054 242528 286624 394108 485056 573248 788216 1576432 3152864 6305728