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8103728 = 241922361
BaseRepresentation
bin11110111010011100110000
3120020201020002
4132322130300
54033304403
6445405132
7125611013
oct36723460
916221202
108103728
1146354a6
1228697a8
1318a9709
14110d37a
15aa1188
hex7ba730

8103728 has 60 divisors (see below), whose sum is σ = 17574768. Its totient is φ = 3611520.

The previous prime is 8103721. The next prime is 8103749. The reversal of 8103728 is 8273018.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8103728.

It is not an unprimeable number, because it can be changed into a prime (8103721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132818 + ... + 132878.

Almost surely, 28103728 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 8103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787384).

8103728 is an abundant number, since it is smaller than the sum of its proper divisors (9471040).

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

8103728 is a wasteful number, since it uses less digits than its factorization.

8103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8103728 is about 2846.7047616499. The cubic root of 8103728 is about 200.8606907440.

The spelling of 8103728 in words is "eight million, one hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 61 76 92 122 152 184 244 304 361 368 437 488 722 874 976 1159 1403 1444 1748 2318 2806 2888 3496 4636 5612 5776 6992 8303 9272 11224 16606 18544 22021 22448 26657 33212 44042 53314 66424 88084 106628 132848 176168 213256 352336 426512 506483 1012966 2025932 4051864 8103728