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13627293 = 323414817
BaseRepresentation
bin110011111110…
…111110011101
3221122100010120
4303332332131
511442033133
61204025153
7223554501
oct63767635
927570116
1013627293
117768429
1246921b9
132a918b4
141b4a301
1512e2ab3
hexcfef9d

13627293 has 16 divisors (see below), whose sum is σ = 19426176. Its totient is φ = 8476160.

The previous prime is 13627291. The next prime is 13627301. The reversal of 13627293 is 39272631.

It is a happy number.

13627293 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13627293 - 21 = 13627291 is a prime.

It is a super-2 number, since 2×136272932 = 371406229015698, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (1214136).

Almost surely, 213627293 is an apocalyptic number.

It is an amenable number.

13627293 is a deficient number, since it is larger than the sum of its proper divisors (5798883).

13627293 is a wasteful number, since it uses less digits than its factorization.

13627293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884.

The product of its digits is 13608, while the sum is 33.

The square root of 13627293 is about 3691.5163551040. The cubic root of 13627293 is about 238.8562068705.

The spelling of 13627293 in words is "thirteen million, six hundred twenty-seven thousand, two hundred ninety-three".

Divisors: 1 3 23 41 69 123 943 2829 4817 14451 110791 197497 332373 592491 4542431 13627293