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20563168 = 2519311091
BaseRepresentation
bin100111001110…
…0010011100000
31102200201100211
41032130103200
520231010133
62012423504
7336532633
oct116342340
942621324
1020563168
111067545a
126a77b94
13434c872
142a33c1a
151c12bcd
hex139c4e0

20563168 has 48 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 9417600.

The previous prime is 20563163. The next prime is 20563189. The reversal of 20563168 is 86136502.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20563163) 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 7 ways as a sum of consecutive naturals, for example, 18303 + ... + 19393.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 220563168 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 20563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

20563168 is an abundant number, since it is smaller than the sum of its proper divisors (23466272).

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

20563168 is a wasteful number, since it uses less digits than its factorization.

20563168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 20563168 is about 4534.6629422704. The cubic root of 20563168 is about 273.9660035609.

The spelling of 20563168 in words is "twenty million, five hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1091 1178 2182 2356 4364 4712 8728 9424 17456 18848 20729 33821 34912 41458 67642 82916 135284 165832 270568 331664 541136 642599 663328 1082272 1285198 2570396 5140792 10281584 20563168