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20241 = 3213173
BaseRepresentation
bin100111100010001
31000202200
410330101
51121431
6233413
7113004
oct47421
930680
1020241
1114231
12b869
1392a0
14753b
155ee6
hex4f11

20241 has 12 divisors (see below), whose sum is σ = 31668. Its totient is φ = 12384.

The previous prime is 20233. The next prime is 20249. The reversal of 20241 is 14202.

It is an interprime number because it is at equal distance from previous prime (20233) and next prime (20249).

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 9216 = 105^2 + 96^2 .

It is not a de Polignac number, because 20241 - 23 = 20233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (2639).

220241 is an apocalyptic number.

It is an amenable number.

20241 is a deficient number, since it is larger than the sum of its proper divisors (11427).

20241 is a wasteful number, since it uses less digits than its factorization.

20241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20241 is about 142.2708684166. The cubic root of 20241 is about 27.2527702483.

Adding to 20241 its reverse (14202), we get a palindrome (34443).

It can be divided in two parts, 2024 and 1, that added together give a square (2025 = 452).

The spelling of 20241 in words is "twenty thousand, two hundred forty-one", and thus it is an iban number.

Divisors: 1 3 9 13 39 117 173 519 1557 2249 6747 20241