Search a number
-
+
6730096 = 2417109227
BaseRepresentation
bin11001101011000101110000
3110122220221211
4121223011300
53210330341
6400125504
7111130162
oct31530560
913586854
106730096
11388746a
122306894
131518409
14c72932
158ce181
hex66b170

6730096 has 40 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 3124224.

The previous prime is 6730093. The next prime is 6730121. The reversal of 6730096 is 6900376.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730093) 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, 29535 + ... + 29761.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 26730096 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 6730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

6730096 is an abundant number, since it is smaller than the sum of its proper divisors (7264544).

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

6730096 is a wasteful number, since it uses less digits than its factorization.

6730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 6730096 is about 2594.2428567889. The cubic root of 6730096 is about 188.8022155730.

The spelling of 6730096 in words is "six million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 227 272 436 454 872 908 1744 1816 1853 3632 3706 3859 7412 7718 14824 15436 24743 29648 30872 49486 61744 98972 197944 395888 420631 841262 1682524 3365048 6730096