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6610041 = 328572
BaseRepresentation
bin11001001101110001111001
3110102211021100
4121031301321
53143010131
6353402013
7110120154
oct31156171
913384240
106610041
113805249
122269309
1314a5889
14c40c9b
158a87e6
hex64dc79

6610041 has 9 divisors (see below), whose sum is σ = 9558991. Its totient is φ = 4401552.

The previous prime is 6609989. The next prime is 6610049. The reversal of 6610041 is 1400166.

The square root of 6610041 is 2571.

It is a perfect power (a square), and thus also a powerful number.

6610041 is a `hidden beast` number, since 661 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6125625 + 484416 = 2475^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6610041 - 213 = 6601849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6609996 and 6610023.

It is not an unprimeable number, because it can be changed into a prime (6610049) 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 8 ways as a sum of consecutive naturals, for example, 7285 + ... + 8141.

Almost surely, 26610041 is an apocalyptic number.

6610041 is the 2571-st square number.

6610041 is the 1286-th centered octagonal number.

It is an amenable number.

6610041 is a deficient number, since it is larger than the sum of its proper divisors (2948950).

6610041 is an frugal number, since it uses more digits than its factorization.

6610041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 6610041 is about 187.6728219914.

Multiplying 6610041 by its product of nonzero digits (144), we get a square (951845904 = 308522).

The spelling of 6610041 in words is "six million, six hundred ten thousand, forty-one".

Divisors: 1 3 9 857 2571 7713 734449 2203347 6610041