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20502 = 2321767
BaseRepresentation
bin101000000010110
31001010100
411000112
51124002
6234530
7113526
oct50026
931110
1020502
1114449
12ba46
139441
147686
15611c
hex5016

20502 has 24 divisors (see below), whose sum is σ = 47736. Its totient is φ = 6336.

The previous prime is 20483. The next prime is 20507.

20502 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 11.

It is a nialpdrome in base 9 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20507) by changing a digit.

20502 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (1989).

220502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868).

20502 is an abundant number, since it is smaller than the sum of its proper divisors (27234).

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

20502 is a wasteful number, since it uses less digits than its factorization.

20502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20502 is about 143.1851947654. The cubic root of 20502 is about 27.3694083782.

The spelling of 20502 in words is "twenty thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 3417 6834 10251 20502