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13826133 = 341311303
BaseRepresentation
bin110100101111…
…100001010101
3222000102220000
4310233201111
512014414013
61212201513
7225343266
oct64574125
928012800
1013826133
117893862
124769299
132b31259
141b9c96d
151331973
hexd2f855

13826133 has 20 divisors (see below), whose sum is σ = 20827488. Its totient is φ = 9140040.

The previous prime is 13826107. The next prime is 13826147. The reversal of 13826133 is 33162831.

It is a happy number.

It is not a de Polignac number, because 13826133 - 25 = 13826101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13826097 and 13826106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9960 + ... + 11262.

Almost surely, 213826133 is an apocalyptic number.

It is an amenable number.

13826133 is a deficient number, since it is larger than the sum of its proper divisors (7001355).

13826133 is a wasteful number, since it uses less digits than its factorization.

13826133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13826133 is about 3718.3508441243. The cubic root of 13826133 is about 240.0123431152.

Adding to 13826133 its reverse (33162831), we get a palindrome (46988964).

The spelling of 13826133 in words is "thirteen million, eight hundred twenty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 131 393 1179 1303 3537 3909 10611 11727 35181 105543 170693 512079 1536237 4608711 13826133