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13414 = 219353
BaseRepresentation
bin11010001100110
3200101211
43101212
5412124
6142034
754052
oct32146
920354
1013414
11a095
12791a
13614b
144c62
153e94
hex3466

13414 has 8 divisors (see below), whose sum is σ = 21240. Its totient is φ = 6336.

The previous prime is 13411. The next prime is 13417. The reversal of 13414 is 41431.

13414 = 172 + 182 + ... + 352.

13414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13411) and next prime (13417).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13394 and 13403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (2655).

213414 is an apocalyptic number.

13414 is a deficient number, since it is larger than the sum of its proper divisors (7826).

13414 is a wasteful number, since it uses less digits than its factorization.

13414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its digits is 48, while the sum is 13.

The square root of 13414 is about 115.8188240313. The cubic root of 13414 is about 23.7603463693.

Subtracting from 13414 its product of digits (48), we obtain a triangular number (13366 = T163).

Adding to 13414 its reverse (41431), we get a palindrome (54845).

The spelling of 13414 in words is "thirteen thousand, four hundred fourteen".

Divisors: 1 2 19 38 353 706 6707 13414