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20771712 = 2732131973
BaseRepresentation
bin100111100111…
…1001110000000
31110002022102200
41033033032000
520304143322
62021113200
7341361633
oct117171600
943068380
1020771712
11107a8105
126b58800
1343c3770
142a89c1a
151c548ac
hex13cf380

20771712 has 192 divisors, whose sum is σ = 68686800. Its totient is φ = 5971968.

The previous prime is 20771687. The next prime is 20771713. The reversal of 20771712 is 21717702.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20771713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284508 + ... + 284580.

Almost surely, 220771712 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 20771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34343400).

20771712 is an abundant number, since it is smaller than the sum of its proper divisors (47915088).

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

20771712 is a wasteful number, since it uses less digits than its factorization.

20771712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 20771712 is about 4557.5993680884. The cubic root of 20771712 is about 274.8890439431.

The spelling of 20771712 in words is "twenty million, seven hundred seventy-one thousand, seven hundred twelve".