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20771128 = 237735081
BaseRepresentation
bin100111100111…
…1000100111000
31110002021122001
41033033010320
520304134003
62021110344
7341360140
oct117170470
943067561
1020771128
11107a7724
126b583b4
1343c3411
142a89920
151c5461d
hex13cf138

20771128 has 32 divisors (see below), whose sum is σ = 45128160. Its totient is φ = 8778240.

The previous prime is 20771119. The next prime is 20771131. The reversal of 20771128 is 82117702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20771096 and 20771105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 6628.

It is an arithmetic number, because the mean of its divisors is an integer number (1410255).

Almost surely, 220771128 is an apocalyptic number.

20771128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20771128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564080).

20771128 is an abundant number, since it is smaller than the sum of its proper divisors (24357032).

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

20771128 is a wasteful number, since it uses less digits than its factorization.

20771128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 20771128 is about 4557.5352988211. The cubic root of 20771128 is about 274.8864677358.

The spelling of 20771128 in words is "twenty million, seven hundred seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 5081 10162 20324 35567 40648 71134 142268 284536 370913 741826 1483652 2596391 2967304 5192782 10385564 20771128