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20268 = 2232563
BaseRepresentation
bin100111100101100
31000210200
410330230
51122033
6233500
7113043
oct47454
930720
1020268
1114256
12b890
1392c1
14755a
156013
hex4f2c

20268 has 18 divisors (see below), whose sum is σ = 51324. Its totient is φ = 6744.

The previous prime is 20261. The next prime is 20269. The reversal of 20268 is 86202.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20268.

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

20268 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 5 ways as a sum of consecutive naturals, for example, 246 + ... + 317.

220268 is an apocalyptic number.

It is an amenable number.

20268 is an abundant number, since it is smaller than the sum of its proper divisors (31056).

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

20268 is a wasteful number, since it uses less digits than its factorization.

20268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20268 is about 142.3657262125. The cubic root of 20268 is about 27.2648825923.

The spelling of 20268 in words is "twenty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 563 1126 1689 2252 3378 5067 6756 10134 20268