Search a number
-
+
728096 = 2561373
BaseRepresentation
bin10110001110000100000
31100222202112
42301300200
5141244341
623334452
76121505
oct2616040
91328675
10728096
11458036
122b1428
131c6535
1414d4ac
15e5aeb
hexb1c20

728096 has 24 divisors (see below), whose sum is σ = 1460844. Its totient is φ = 357120.

The previous prime is 728087. The next prime is 728113. The reversal of 728096 is 690827.

728096 = T123 + T124 + ... + T183.

It can be written as a sum of positive squares in 2 ways, for example, as 672400 + 55696 = 820^2 + 236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1766 + ... + 2138.

2728096 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 728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730422).

728096 is an abundant number, since it is smaller than the sum of its proper divisors (732748).

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

728096 is a wasteful number, since it uses less digits than its factorization.

728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 728096 is about 853.2854153213. The cubic root of 728096 is about 89.9627829659.

The spelling of 728096 in words is "seven hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 61 122 244 373 488 746 976 1492 1952 2984 5968 11936 22753 45506 91012 182024 364048 728096