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14735133 = 327233413
BaseRepresentation
bin111000001101…
…011100011101
31000201121210200
4320031130131
512233011013
61243454113
7236150400
oct70153435
930647720
1014735133
1183547a6
124b27339
13308bc1a
141d57d37
151460e73
hexe0d71d

14735133 has 18 divisors (see below), whose sum is σ = 24759774. Its totient is φ = 8419824.

The previous prime is 14735131. The next prime is 14735167. The reversal of 14735133 is 33153741.

14735133 is a `hidden beast` number, since 147 + 3 + 513 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14607684 + 127449 = 3822^2 + 357^2 .

It is not a de Polignac number, because 14735133 - 21 = 14735131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14735097 and 14735106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14735131) 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 17 ways as a sum of consecutive naturals, for example, 16266 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (1375543).

Almost surely, 214735133 is an apocalyptic number.

It is an amenable number.

14735133 is a deficient number, since it is larger than the sum of its proper divisors (10024641).

14735133 is a wasteful number, since it uses less digits than its factorization.

14735133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33433 (or 33423 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 14735133 is about 3838.6368674309. The cubic root of 14735133 is about 245.1609826350.

Adding to 14735133 its reverse (33153741), we get a palindrome (47888874).

The spelling of 14735133 in words is "fourteen million, seven hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 33413 100239 233891 300717 701673 1637237 2105019 4911711 14735133