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20566672 = 247237709
BaseRepresentation
bin100111001110…
…1001010010000
31102200220011121
41032131022100
520231113142
62012452024
7336546100
oct116351220
942626147
1020566672
1110678055
126a7a014
134351339
142a35200
151c13c67
hex139d290

20566672 has 60 divisors (see below), whose sum is σ = 47673660. Its totient is φ = 8563968.

The previous prime is 20566657. The next prime is 20566673. The reversal of 20566672 is 27666502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 9834496 = 3276^2 + 3136^2 .

It is not an unprimeable number, because it can be changed into a prime (20566673) 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 11 ways as a sum of consecutive naturals, for example, 28654 + ... + 29362.

It is an arithmetic number, because the mean of its divisors is an integer number (794561).

Almost surely, 220566672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20566672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23836830).

20566672 is an abundant number, since it is smaller than the sum of its proper divisors (27106988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20566672 is a wasteful number, since it uses less digits than its factorization.

20566672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 20566672 is about 4535.0492830839. The cubic root of 20566672 is about 273.9815641067.

The spelling of 20566672 in words is "twenty million, five hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 709 784 1036 1418 1813 2072 2836 3626 4144 4963 5672 7252 9926 11344 14504 19852 26233 29008 34741 39704 52466 69482 79408 104932 138964 183631 209864 277928 367262 419728 555856 734524 1285417 1469048 2570834 2938096 5141668 10283336 20566672