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20566332 = 2233533593
BaseRepresentation
bin100111001110…
…1000100111100
31102200212201000
41032131010330
520231110312
62012450300
7336545103
oct116350474
942625630
1020566332
1110677876
126a79990
134351137
142a3503a
151c13adc
hex139d13c

20566332 has 48 divisors (see below), whose sum is σ = 54341280. Its totient is φ = 6724224.

The previous prime is 20566331. The next prime is 20566367. The reversal of 20566332 is 23366502.

20566332 is a `hidden beast` number, since 20 + 5 + 6 + 633 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20566296 and 20566305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20566331) 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 15 ways as a sum of consecutive naturals, for example, 3928 + ... + 7520.

It is an arithmetic number, because the mean of its divisors is an integer number (1132110).

Almost surely, 220566332 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 20566332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170640).

20566332 is an abundant number, since it is smaller than the sum of its proper divisors (33774948).

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

20566332 is a wasteful number, since it uses less digits than its factorization.

20566332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 20566332 is about 4535.0117971181. The cubic root of 20566332 is about 273.9800543138.

The spelling of 20566332 in words is "twenty million, five hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 3593 5724 7186 10779 14372 21558 32337 43116 64674 97011 129348 190429 194022 380858 388044 571287 761716 1142574 1713861 2285148 3427722 5141583 6855444 10283166 20566332