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9020 = 2251141
BaseRepresentation
bin10001100111100
3110101002
42030330
5242040
6105432
735204
oct21474
913332
109020
116860
125278
13414b
143404
152a15
hex233c

9020 has 24 divisors (see below), whose sum is σ = 21168. Its totient is φ = 3200.

The previous prime is 9013. The next prime is 9029. The reversal of 9020 is 209.

9020 = 302 + 312 + ... + 372.

9020 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (11).

9020 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8992 and 9010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9029) by changing a digit.

9020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 200 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

29020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584).

9020 is an abundant number, since it is smaller than the sum of its proper divisors (12148).

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

9020 is a wasteful number, since it uses less digits than its factorization.

9020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 9020 is about 94.9736805647. The cubic root of 9020 is about 20.8162348596.

Subtracting from 9020 its sum of digits (11), we obtain a palindrome (9009).

9020 divided by its sum of digits (11) gives a triangular number (820 = T40).

Adding to 9020 its reverse (209), we get a palindrome (9229).

The spelling of 9020 in words is "nine thousand, twenty".