Search a number
-
+
6646068 = 223211131291
BaseRepresentation
bin11001010110100100110100
3110111122200200
4121112210310
53200133233
6354240500
7110330202
oct31264464
913448620
106646068
11382a320
122286130
1314b90b0
14c50072
158b4313
hex656934

6646068 has 72 divisors (see below), whose sum is σ = 19752096. Its totient is φ = 1857600.

The previous prime is 6646049. The next prime is 6646153. The reversal of 6646068 is 8606466.

6646068 is a `hidden beast` number, since 6 + 646 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4503 + ... + 5793.

Almost surely, 26646068 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 6646068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876048).

6646068 is an abundant number, since it is smaller than the sum of its proper divisors (13106028).

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

6646068 is a wasteful number, since it uses less digits than its factorization.

6646068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6646068 is about 2577.9968968174. The cubic root of 6646068 is about 188.0131649148.

The spelling of 6646068 in words is "six million, six hundred forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1291 1716 2574 2582 3873 5148 5164 7746 11619 14201 15492 16783 23238 28402 33566 42603 46476 50349 56804 67132 85206 100698 127809 151047 170412 184613 201396 255618 302094 369226 511236 553839 604188 738452 1107678 1661517 2215356 3323034 6646068