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6631105 = 513172353
BaseRepresentation
bin11001010010111011000001
3110110220011111
4121102323001
53144143410
6354043321
7110235445
oct31227301
913426144
106631105
11381a058
122279541
1314b2340
14c48825
158aeb8a
hex652ec1

6631105 has 24 divisors (see below), whose sum is σ = 9128952. Its totient is φ = 4595712.

The previous prime is 6631081. The next prime is 6631109. The reversal of 6631105 is 5011366.

It can be written as a sum of positive squares in 12 ways, for example, as 1056784 + 5574321 = 1028^2 + 2361^2 .

It is not a de Polignac number, because 6631105 - 221 = 4533953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18609 + ... + 18961.

It is an arithmetic number, because the mean of its divisors is an integer number (380373).

Almost surely, 26631105 is an apocalyptic number.

6631105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6631105 is a deficient number, since it is larger than the sum of its proper divisors (2497847).

6631105 is a wasteful number, since it uses less digits than its factorization.

6631105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 6631105 is about 2575.0932021968. The cubic root of 6631105 is about 187.8719608785.

The spelling of 6631105 in words is "six million, six hundred thirty-one thousand, one hundred five".

Divisors: 1 5 13 17 65 85 221 289 353 1105 1445 1765 3757 4589 6001 18785 22945 30005 78013 102017 390065 510085 1326221 6631105