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13293 = 327211
BaseRepresentation
bin11001111101101
3200020100
43033231
5411133
6141313
753520
oct31755
920210
1013293
119a95
127839
136087
144bb7
153e13
hex33ed

13293 has 12 divisors (see below), whose sum is σ = 22048. Its totient is φ = 7560.

The previous prime is 13291. The next prime is 13297. The reversal of 13293 is 39231.

It is not a de Polignac number, because 13293 - 21 = 13291 is a prime.

It is a Duffinian number.

13293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43 + ... + 168.

213293 is an apocalyptic number.

It is an amenable number.

13293 is a deficient number, since it is larger than the sum of its proper divisors (8755).

13293 is a wasteful number, since it uses less digits than its factorization.

13293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 13293 is about 115.2952731035. The cubic root of 13293 is about 23.6886876526.

Subtracting from 13293 its product of digits (162), we obtain a palindrome (13131).

It can be divided in two parts, 132 and 93, that added together give a square (225 = 152).

The spelling of 13293 in words is "thirteen thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 13293