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20566125 = 3253101181
BaseRepresentation
bin100111001110…
…1000001101101
31102200212102100
41032131001231
520231104000
62012445313
7336544356
oct116350155
942625370
1020566125
11106776a8
126a79839
134351008
142a34d2d
151c13a00
hex139d06d

20566125 has 48 divisors (see below), whose sum is σ = 37647792. Its totient is φ = 10800000.

The previous prime is 20566123. The next prime is 20566129. The reversal of 20566125 is 52166502.

It can be written as a sum of positive squares in 8 ways, for example, as 7584516 + 12981609 = 2754^2 + 3603^2 .

It is not a de Polignac number, because 20566125 - 21 = 20566123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20566121) 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 47 ways as a sum of consecutive naturals, for example, 113535 + ... + 113715.

It is an arithmetic number, because the mean of its divisors is an integer number (784329).

Almost surely, 220566125 is an apocalyptic number.

20566125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20566125 is a deficient number, since it is larger than the sum of its proper divisors (17081667).

20566125 is a wasteful number, since it uses less digits than its factorization.

20566125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20566125 is about 4534.9889746283. The cubic root of 20566125 is about 273.9791351082.

The spelling of 20566125 in words is "twenty million, five hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 181 225 303 375 505 543 905 909 1125 1515 1629 2525 2715 4525 4545 7575 8145 12625 13575 18281 22625 22725 37875 40725 54843 67875 91405 113625 164529 203625 274215 457025 822645 1371075 2285125 4113225 6855375 20566125