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6686442 = 23373192
BaseRepresentation
bin11001100000011011101010
3110120201002000
4121200123222
53202431232
6355151430
7110556000
oct31403352
913521060
106686442
113857694
1222a5576
131501599
14c60a70
158c127c
hex6606ea

6686442 has 96 divisors (see below), whose sum is σ = 18288000. Its totient is φ = 1809864.

The previous prime is 6686437. The next prime is 6686447. The reversal of 6686442 is 2446866.

It is a happy number.

6686442 is a `hidden beast` number, since 6 + 6 + 8 + 644 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6686437) and next prime (6686447).

It is a junction number, because it is equal to n+sod(n) for n = 6686397 and 6686406.

It is not an unprimeable number, because it can be changed into a prime (6686447) 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 47 ways as a sum of consecutive naturals, for example, 351909 + ... + 351927.

It is an arithmetic number, because the mean of its divisors is an integer number (190500).

Almost surely, 26686442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6686442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144000).

6686442 is an abundant number, since it is smaller than the sum of its proper divisors (11601558).

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

6686442 is a wasteful number, since it uses less digits than its factorization.

6686442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6686442 is about 2585.8155386647. The cubic root of 6686442 is about 188.3931150878.

The spelling of 6686442 in words is "six million, six hundred eighty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 361 378 399 441 513 686 722 798 882 931 1026 1029 1083 1197 1323 1862 2058 2166 2394 2527 2646 2793 3087 3249 3591 5054 5586 6174 6498 6517 7182 7581 8379 9261 9747 13034 15162 16758 17689 18522 19494 19551 22743 25137 35378 39102 45486 50274 53067 58653 68229 106134 117306 123823 136458 159201 175959 247646 318402 351918 371469 477603 742938 955206 1114407 2228814 3343221 6686442