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15117137 = 72535821
BaseRepresentation
bin111001101010…
…101101010001
31001110000210222
4321222231101
512332222022
61300002425
7242331200
oct71525521
931400728
1015117137
118595802
125090415
133193a69
142017237
1514d9242
hexe6ab51

15117137 has 12 divisors (see below), whose sum is σ = 17920116. Its totient is φ = 12710880.

The previous prime is 15117133. The next prime is 15117169. The reversal of 15117137 is 73171151.

It can be written as a sum of positive squares in 2 ways, for example, as 12103441 + 3013696 = 3479^2 + 1736^2 .

It is not a de Polignac number, because 15117137 - 22 = 15117133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15117133) 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 11 ways as a sum of consecutive naturals, for example, 314 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (1493343).

Almost surely, 215117137 is an apocalyptic number.

It is an amenable number.

15117137 is a deficient number, since it is larger than the sum of its proper divisors (2802979).

15117137 is an equidigital number, since it uses as much as digits as its factorization.

15117137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5881 counting only the distinct ones).

The product of its digits is 735, while the sum is 26.

The square root of 15117137 is about 3888.0762595402. The cubic root of 15117137 is about 247.2615095432.

Adding to 15117137 its reverse (73171151), we get a palindrome (88288288).

The spelling of 15117137 in words is "fifteen million, one hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 7 49 53 371 2597 5821 40747 285229 308513 2159591 15117137