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20046 = 2313257
BaseRepresentation
bin100111001001110
31000111110
410321032
51120141
6232450
7112305
oct47116
930443
1020046
1114074
12b726
139180
14743c
155e16
hex4e4e

20046 has 16 divisors (see below), whose sum is σ = 43344. Its totient is φ = 6144.

The previous prime is 20029. The next prime is 20047. The reversal of 20046 is 64002.

20046 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

20046 is an undulating number in base 16.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20046.

It is not an unprimeable number, because it can be changed into a prime (20047) by changing a digit.

20046 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 7 ways as a sum of consecutive naturals, for example, 51 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

220046 is an apocalyptic number.

20046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20046 is an abundant number, since it is smaller than the sum of its proper divisors (23298).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672).

20046 is a wasteful number, since it uses less digits than its factorization.

20046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20046 is about 141.5838973895. The cubic root of 20046 is about 27.1649707666.

Adding to 20046 its reverse (64002), we get a palindrome (84048).

Subtracting 20046 from its reverse (64002), we obtain a triangular number (43956 = T296).

The spelling of 20046 in words is "twenty thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 78 257 514 771 1542 3341 6682 10023 20046