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20076 = 2237239
BaseRepresentation
bin100111001101100
31000112120
410321230
51120301
6232540
7112350
oct47154
930476
1020076
11140a1
12b750
1391a4
147460
155e36
hex4e6c

20076 has 24 divisors (see below), whose sum is σ = 53760. Its totient is φ = 5712.

The previous prime is 20071. The next prime is 20089. The reversal of 20076 is 67002.

20076 = T23 + T24 + ... + T50.

20076 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20076.

It is not an unprimeable number, because it can be changed into a prime (20071) by changing a digit.

20076 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, 36 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

220076 is an apocalyptic number.

It is an amenable number.

20076 is an abundant number, since it is smaller than the sum of its proper divisors (33684).

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 (26880).

20076 is a wasteful number, since it uses less digits than its factorization.

20076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20076 is about 141.6898020325. The cubic root of 20076 is about 27.1785153295.

Adding to 20076 its reverse (67002), we get a palindrome (87078).

It can be divided in two parts, 200 and 76, that added together give a triangular number (276 = T23).

The spelling of 20076 in words is "twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 5019 6692 10038 20076