Search a number
-
+
6640768 = 27291789
BaseRepresentation
bin11001010101010010000000
3110111101102101
4121111102000
53200001033
6354200144
7110305561
oct31252200
913441371
106640768
113826342
122283054
1314b6864
14c4c168
158b297d
hex655480

6640768 has 32 divisors (see below), whose sum is σ = 13693500. Its totient is φ = 3204096.

The previous prime is 6640759. The next prime is 6640769. The reversal of 6640768 is 8670466.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 529984 = 2472^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (6640769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2818 + ... + 4606.

Almost surely, 26640768 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 6640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846750).

6640768 is an abundant number, since it is smaller than the sum of its proper divisors (7052732).

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

6640768 is a wasteful number, since it uses less digits than its factorization.

6640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 6640768 is about 2576.9687619372. The cubic root of 6640768 is about 187.9631737133.

The spelling of 6640768 in words is "six million, six hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1789 1856 3578 3712 7156 14312 28624 51881 57248 103762 114496 207524 228992 415048 830096 1660192 3320384 6640768