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6551361 = 34292789
BaseRepresentation
bin11000111111011101000001
3110022211210000
4120333131001
53134120421
6352230213
7106454115
oct30773501
913284700
106551361
113775153
12223b369
131484c5b
14c27745
15896226
hex63f741

6551361 has 20 divisors (see below), whose sum is σ = 10127700. Its totient is φ = 4215456.

The previous prime is 6551353. The next prime is 6551387. The reversal of 6551361 is 1631556.

It is a happy number.

6551361 is a `hidden beast` number, since 655 + 1 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 2772225 = 1944^2 + 1665^2 .

It is not a de Polignac number, because 6551361 - 23 = 6551353 is a prime.

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

6551361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6551161) 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, 955 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (506385).

Almost surely, 26551361 is an apocalyptic number.

It is an amenable number.

6551361 is a deficient number, since it is larger than the sum of its proper divisors (3576339).

6551361 is a wasteful number, since it uses less digits than its factorization.

6551361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2821 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 6551361 is about 2559.5626579555. The cubic root of 6551361 is about 187.1158213738.

It can be divided in two parts, 655 and 1361, that added together give a triangular number (2016 = T63).

The spelling of 6551361 in words is "six million, five hundred fifty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 2789 8367 25101 75303 80881 225909 242643 727929 2183787 6551361