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55760013 = 3267891039
BaseRepresentation
bin1101010010110…
…1010010001101
310212220220100200
43110231102031
5103233310023
65311044113
71244644431
oct324552215
9125826320
1055760013
1129525361
1216810639
13b7240ba
1475969c1
154d66743
hex352d48d

55760013 has 24 divisors (see below), whose sum is σ = 82742400. Its totient is φ = 36172224.

The previous prime is 55760009. The next prime is 55760021. The reversal of 55760013 is 31006755.

55760013 is a `hidden beast` number, since 5 + 57 + 600 + 1 + 3 = 666.

55760013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55760013 - 22 = 55760009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55760093) 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 23 ways as a sum of consecutive naturals, for example, 53148 + ... + 54186.

It is an arithmetic number, because the mean of its divisors is an integer number (3447600).

Almost surely, 255760013 is an apocalyptic number.

It is an amenable number.

55760013 is a deficient number, since it is larger than the sum of its proper divisors (26982387).

55760013 is a wasteful number, since it uses less digits than its factorization.

55760013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 55760013 is about 7467.2627515041. The cubic root of 55760013 is about 382.0389318252.

Adding to 55760013 its reverse (31006755), we get a palindrome (86766768).

The spelling of 55760013 in words is "fifty-five million, seven hundred sixty thousand, thirteen".

Divisors: 1 3 9 67 89 201 267 603 801 1039 3117 5963 9351 17889 53667 69613 92471 208839 277413 626517 832239 6195557 18586671 55760013