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20468 = 2271743
BaseRepresentation
bin100111111110100
31001002002
410333310
51123333
6234432
7113450
oct47764
931062
1020468
1114418
12ba18
139416
147660
1560e8
hex4ff4

20468 has 24 divisors (see below), whose sum is σ = 44352. Its totient is φ = 8064.

The previous prime is 20443. The next prime is 20477. The reversal of 20468 is 86402.

It can be divided in two parts, 204 and 68, that added together give a palindrome (272).

20468 is nontrivially palindromic in base 6 and base 16.

It is a plaindrome in base 5.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

20468 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, 455 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

220468 is an apocalyptic number.

20468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176).

20468 is an abundant number, since it is smaller than the sum of its proper divisors (23884).

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

20468 is a wasteful number, since it uses less digits than its factorization.

20468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20468 is about 143.0664181421. The cubic root of 20468 is about 27.3542704280.

The spelling of 20468 in words is "twenty thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 602 731 1204 1462 2924 5117 10234 20468