Base | Representation |
---|---|
bin | 110010000010… |
… | …100111110001 |
3 | 220200110102112 |
4 | 302002213301 |
5 | 11324233222 |
6 | 1145055105 |
7 | 216333500 |
oct | 62024761 |
9 | 26613375 |
10 | 13117937 |
11 | 744a778 |
12 | 4487495 |
13 | 2943ac1 |
14 | 1a56837 |
15 | 1241be2 |
hex | c829f1 |
13117937 has 6 divisors (see below), whose sum is σ = 15259698. Its totient is φ = 11243904.
The previous prime is 13117933. The next prime is 13117963. The reversal of 13117937 is 73971131.
13117937 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 only one way, i.e., 8317456 + 4800481 = 2884^2 + 2191^2 .
It is not a de Polignac number, because 13117937 - 22 = 13117933 is a prime.
It is a super-2 number, since 2×131179372 = 344160542271938, which contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (13117933) 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 5 ways as a sum of consecutive naturals, for example, 133808 + ... + 133905.
It is an arithmetic number, because the mean of its divisors is an integer number (2543283).
Almost surely, 213117937 is an apocalyptic number.
It is an amenable number.
13117937 is a deficient number, since it is larger than the sum of its proper divisors (2141761).
13117937 is an equidigital number, since it uses as much as digits as its factorization.
13117937 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267727 (or 267720 counting only the distinct ones).
The product of its digits is 3969, while the sum is 32.
The square root of 13117937 is about 3621.8692687616. The cubic root of 13117937 is about 235.8423789505.
The spelling of 13117937 in words is "thirteen million, one hundred seventeen thousand, nine hundred thirty-seven".
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