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135314 = 2292333
BaseRepresentation
bin100001000010010010
320212121122
4201002102
513312224
62522242
71102334
oct410222
9225548
10135314
1192733
1266382
134978a
1437454
152a15e
hex21092

135314 has 8 divisors (see below), whose sum is σ = 210060. Its totient is φ = 65296.

The previous prime is 135301. The next prime is 135319. The reversal of 135314 is 413531.

It can be written as a sum of positive squares in 2 ways, for example, as 134689 + 625 = 367^2 + 25^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 135292 and 135301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135314.

It is not an unprimeable number, because it can be changed into a prime (135319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1109 + ... + 1224.

2135314 is an apocalyptic number.

135314 is a deficient number, since it is larger than the sum of its proper divisors (74746).

135314 is a wasteful number, since it uses less digits than its factorization.

135314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364.

The product of its digits is 180, while the sum is 17.

The square root of 135314 is about 367.8505131164. The cubic root of 135314 is about 51.3390203778.

Adding to 135314 its reverse (413531), we get a palindrome (548845).

The spelling of 135314 in words is "one hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 29 58 2333 4666 67657 135314