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20128 = 251737
BaseRepresentation
bin100111010100000
31000121111
410322200
51121003
6233104
7112453
oct47240
930544
1020128
1114139
12b794
139214
14749a
155e6d
hex4ea0

20128 has 24 divisors (see below), whose sum is σ = 43092. Its totient is φ = 9216.

The previous prime is 20123. The next prime is 20129. The reversal of 20128 is 82102.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 2704 = 132^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (20123) by changing a digit.

20128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526 + ... + 562.

220128 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 20128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546).

20128 is an abundant number, since it is smaller than the sum of its proper divisors (22964).

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

20128 is a wasteful number, since it uses less digits than its factorization.

20128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 20128 is about 141.8731828077. The cubic root of 20128 is about 27.2019606430.

The spelling of 20128 in words is "twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 20128