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9868768 = 257133389
BaseRepresentation
bin100101101001…
…010111100000
3200120101101221
4211221113200
510011300033
6551304424
7146611630
oct45512740
920511357
109868768
115630608
12337b114
132076c10
14144c6c0
15cee12d
hex9695e0

9868768 has 48 divisors (see below), whose sum is σ = 23919840. Its totient is φ = 3902976.

The previous prime is 9868699. The next prime is 9868769. The reversal of 9868768 is 8678689.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9868769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218 + ... + 4606.

It is an arithmetic number, because the mean of its divisors is an integer number (498330).

Almost surely, 29868768 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 9868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959920).

9868768 is an abundant number, since it is smaller than the sum of its proper divisors (14051072).

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

9868768 is a wasteful number, since it uses less digits than its factorization.

9868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The square root of 9868768 is about 3141.4595334016. The cubic root of 9868768 is about 214.4968801788.

The spelling of 9868768 in words is "nine million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3389 6778 13556 23723 27112 44057 47446 54224 88114 94892 108448 176228 189784 308399 352456 379568 616798 704912 759136 1233596 1409824 2467192 4934384 9868768