Search a number
-
+
13215137 = 131759797
BaseRepresentation
bin110010011010…
…010110100001
3220212101202112
4302122112201
511340341022
61151125105
7220220045
oct62322641
926771675
1013215137
117506801
124513795
132979110
141a80025
1512608e2
hexc9a5a1

13215137 has 8 divisors (see below), whose sum is σ = 15069096. Its totient is φ = 11480832.

The previous prime is 13215121. The next prime is 13215151. The reversal of 13215137 is 73151231.

It can be written as a sum of positive squares in 4 ways, for example, as 2430481 + 10784656 = 1559^2 + 3284^2 .

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 13215137 - 24 = 13215121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13215107) 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, 29678 + ... + 30119.

It is an arithmetic number, because the mean of its divisors is an integer number (1883637).

Almost surely, 213215137 is an apocalyptic number.

13215137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13215137 is a deficient number, since it is larger than the sum of its proper divisors (1853959).

13215137 is a wasteful number, since it uses less digits than its factorization.

13215137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59827.

The product of its digits is 630, while the sum is 23.

The square root of 13215137 is about 3635.2629891110. The cubic root of 13215137 is about 236.4234533339.

Adding to 13215137 its reverse (73151231), we get a palindrome (86366368).

The spelling of 13215137 in words is "thirteen million, two hundred fifteen thousand, one hundred thirty-seven".

Divisors: 1 13 17 221 59797 777361 1016549 13215137