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20080 = 245251

20080 has 20 divisors (see below), whose sum is σ = 46872. Its totient is φ = 8000.

The previous prime is 20071. The next prime is 20089. The reversal of 20080 is 8002.

Adding to 20080 its reverse (8002), we get a palindrome (28082).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20071) and next prime (20089).

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20089) 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 3 ways as a sum of consecutive naturals, for example, 46 + ... + 205.

220080 is an apocalyptic number.

20080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20080 is an abundant number, since it is smaller than the sum of its proper divisors (26792).

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 (23436).

20080 is a wasteful number, since it uses less digits than its factorization.

20080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20080 is about 141.7039166713. The cubic root of 20080 is about 27.1803202515.

The spelling of 20080 in words is "twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 20080