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20566128 = 2431123541
BaseRepresentation
bin100111001110…
…1000001110000
31102200212102110
41032131001300
520231104003
62012445320
7336544362
oct116350160
942625373
1020566128
1110677700
126a79840
13435100b
142a34d32
151c13a03
hex139d070

20566128 has 60 divisors (see below), whose sum is σ = 58414664. Its totient is φ = 6230400.

The previous prime is 20566123. The next prime is 20566129. The reversal of 20566128 is 82166502.

It is a junction number, because it is equal to n+sod(n) for n = 20566095 and 20566104.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4038 + ... + 7578.

Almost surely, 220566128 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 20566128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29207332).

20566128 is an abundant number, since it is smaller than the sum of its proper divisors (37848536).

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

20566128 is a wasteful number, since it uses less digits than its factorization.

20566128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20566128 is about 4534.9893053898. The cubic root of 20566128 is about 273.9791484301.

The spelling of 20566128 in words is "twenty million, five hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 3541 5808 7082 10623 14164 21246 28328 38951 42492 56656 77902 84984 116853 155804 169968 233706 311608 428461 467412 623216 856922 934824 1285383 1713844 1869648 2570766 3427688 5141532 6855376 10283064 20566128