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20265 = 357193
BaseRepresentation
bin100111100101001
31000210120
410330221
51122030
6233453
7113040
oct47451
930716
1020265
1114253
12b889
1392bb
147557
156010
hex4f29

20265 has 16 divisors (see below), whose sum is σ = 37248. Its totient is φ = 9216.

The previous prime is 20261. The next prime is 20269. The reversal of 20265 is 56202.

20265 = T15 + T16 + ... + T49.

20265 is nontrivially palindromic in base 14.

20265 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20261) and next prime (20269).

It is not a de Polignac number, because 20265 - 22 = 20261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (2328).

220265 is an apocalyptic number.

It is an amenable number.

20265 is a deficient number, since it is larger than the sum of its proper divisors (16983).

20265 is a wasteful number, since it uses less digits than its factorization.

20265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20265 is about 142.3551895787. The cubic root of 20265 is about 27.2635373077.

Adding to 20265 its reverse (56202), we get a palindrome (76467).

Subtracting 20265 from its reverse (56202), we obtain a cube (35937 = 333).

The spelling of 20265 in words is "twenty thousand, two hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 105 193 579 965 1351 2895 4053 6755 20265