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20543328 = 2533133159
BaseRepresentation
bin100111001011…
…1011101100000
31102122201011000
41032113131200
520224341303
62012152000
7336421041
oct116273540
942581130
1020543328
1110661563
126a68600
134343820
142a2a8c8
151c0bda3
hex1397760

20543328 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 6013440.

The previous prime is 20543323. The next prime is 20543333. The reversal of 20543328 is 82334502.

20543328 is a `hidden beast` number, since 205 + 433 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (20543323) and next prime (20543333).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20543321) 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 31 ways as a sum of consecutive naturals, for example, 348163 + ... + 348221.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 220543328 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 20543328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

20543328 is an abundant number, since it is smaller than the sum of its proper divisors (47194272).

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

20543328 is a wasteful number, since it uses less digits than its factorization.

20543328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20543328 is about 4532.4748206692. The cubic root of 20543328 is about 273.8778648305.

The spelling of 20543328 in words is "twenty million, five hundred forty-three thousand, three hundred twenty-eight".