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20272256 = 271091453
BaseRepresentation
bin100110101010…
…1010010000000
31102010221022022
41031111102000
520142203011
62002301012
7334211534
oct115252200
942127268
1020272256
1110496934
126957768
13427a324
142999bc4
151ba68db
hex1355480

20272256 has 32 divisors (see below), whose sum is σ = 40784700. Its totient is φ = 10036224.

The previous prime is 20272249. The next prime is 20272267. The reversal of 20272256 is 65227202.

It can be written as a sum of positive squares in 2 ways, for example, as 16974400 + 3297856 = 4120^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13226 + ... + 14678.

Almost surely, 220272256 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 20272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392350).

20272256 is an abundant number, since it is smaller than the sum of its proper divisors (20512444).

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

20272256 is a wasteful number, since it uses less digits than its factorization.

20272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 20272256 is about 4502.4722097976. The cubic root of 20272256 is about 272.6679087493.

Adding to 20272256 its reverse (65227202), we get a palindrome (85499458).

The spelling of 20272256 in words is "twenty million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1453 1744 2906 3488 5812 6976 11624 13952 23248 46496 92992 158377 185984 316754 633508 1267016 2534032 5068064 10136128 20272256