Search a number
-
+
13668006 = 2311415051
BaseRepresentation
bin110100001000…
…111010100110
3221201101222110
4310020322212
511444334011
61204541450
7224114262
oct64107246
927641873
1013668006
117795a80
1246b1886
132aa72a1
141b5b0a2
1512eeba6
hexd08ea6

13668006 has 32 divisors (see below), whose sum is σ = 30554496. Its totient is φ = 4040000.

The previous prime is 13668001. The next prime is 13668007. The reversal of 13668006 is 60086631.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13668001) 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 15 ways as a sum of consecutive naturals, for example, 181 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (954828).

Almost surely, 213668006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13668006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277248).

13668006 is an abundant number, since it is smaller than the sum of its proper divisors (16886490).

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

13668006 is a wasteful number, since it uses less digits than its factorization.

13668006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13668006 is about 3697.0266431282. The cubic root of 13668006 is about 239.0938398915.

The spelling of 13668006 in words is "thirteen million, six hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 5051 10102 15153 30306 55561 111122 166683 207091 333366 414182 621273 1242546 2278001 4556002 6834003 13668006