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13289257 = 17781721
BaseRepresentation
bin110010101100…
…011100101001
3221000011102201
4302230130221
511400224012
61152500201
7220646122
oct62543451
927004381
1013289257
117557463
12454a661
1329a3a87
141a9d049
151277857
hexcac729

13289257 has 4 divisors (see below), whose sum is σ = 14070996. Its totient is φ = 12507520.

The previous prime is 13289233. The next prime is 13289281. The reversal of 13289257 is 75298231.

13289257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75298231 = 203936929.

It is an interprime number because it is at equal distance from previous prime (13289233) and next prime (13289281).

It can be written as a sum of positive squares in 2 ways, for example, as 6817321 + 6471936 = 2611^2 + 2544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13289257 is a prime.

It is a super-2 number, since 2×132892572 = 353208703224098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13289357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 390844 + ... + 390877.

It is an arithmetic number, because the mean of its divisors is an integer number (3517749).

Almost surely, 213289257 is an apocalyptic number.

13289257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13289257 is a deficient number, since it is larger than the sum of its proper divisors (781739).

13289257 is an equidigital number, since it uses as much as digits as its factorization.

13289257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781738.

The product of its digits is 30240, while the sum is 37.

The square root of 13289257 is about 3645.4433200915. The cubic root of 13289257 is about 236.8646404921.

It can be divided in two parts, 1328 and 9257, that added together give a triangular number (10585 = T145).

The spelling of 13289257 in words is "thirteen million, two hundred eighty-nine thousand, two hundred fifty-seven".

Divisors: 1 17 781721 13289257