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13188005 = 517155153
BaseRepresentation
bin110010010011…
…101110100101
3220211000112122
4302103232211
511334004010
61150355325
7220044665
oct62235645
926730478
1013188005
117498386
1244bbb45
13296996c
141a741a5
151257855
hexc93ba5

13188005 has 8 divisors (see below), whose sum is σ = 16756632. Its totient is φ = 9929728.

The previous prime is 13188001. The next prime is 13188013. The reversal of 13188005 is 50088131.

It can be written as a sum of positive squares in 4 ways, for example, as 4532641 + 8655364 = 2129^2 + 2942^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13188005 - 22 = 13188001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77492 + ... + 77661.

It is an arithmetic number, because the mean of its divisors is an integer number (2094579).

Almost surely, 213188005 is an apocalyptic number.

It is an amenable number.

13188005 is a deficient number, since it is larger than the sum of its proper divisors (3568627).

13188005 is a wasteful number, since it uses less digits than its factorization.

13188005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155175.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 13188005 is about 3631.5292921853. The cubic root of 13188005 is about 236.2615421327.

The spelling of 13188005 in words is "thirteen million, one hundred eighty-eight thousand, five".

Divisors: 1 5 17 85 155153 775765 2637601 13188005