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6338137 = 133713177
BaseRepresentation
bin11000001011011001011001
3102221000021211
4120023121121
53110310022
6343503121
7104605351
oct30133131
912830254
106338137
113639a33
122157aa1
13140bba0
14badb61
15852e77
hex60b659

6338137 has 8 divisors (see below), whose sum is σ = 7010696. Its totient is φ = 5692032.

The previous prime is 6338131. The next prime is 6338141. The reversal of 6338137 is 7318336.

6338137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 4888521 = 1204^2 + 2211^2 .

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 6338137 - 27 = 6338009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6338099 and 6338108.

It is not an unprimeable number, because it can be changed into a prime (6338131) 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 7 ways as a sum of consecutive naturals, for example, 6108 + ... + 7069.

It is an arithmetic number, because the mean of its divisors is an integer number (876337).

Almost surely, 26338137 is an apocalyptic number.

It is an amenable number.

6338137 is a deficient number, since it is larger than the sum of its proper divisors (672559).

6338137 is a wasteful number, since it uses less digits than its factorization.

6338137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227.

The product of its digits is 9072, while the sum is 31.

The square root of 6338137 is about 2517.5656893118. The cubic root of 6338137 is about 185.0634016924.

The spelling of 6338137 in words is "six million, three hundred thirty-eight thousand, one hundred thirty-seven".

Divisors: 1 13 37 481 13177 171301 487549 6338137