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20934 = 2321163
BaseRepresentation
bin101000111000110
31001201100
411013012
51132214
6240530
7115014
oct50706
931640
1020934
1114801
1210146
1396b4
1478b4
156309
hex51c6

20934 has 12 divisors (see below), whose sum is σ = 45396. Its totient is φ = 6972.

The previous prime is 20929. The next prime is 20939. The reversal of 20934 is 43902.

It is an interprime number because it is at equal distance from previous prime (20929) and next prime (20939).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1163 = 20934 / (2 + 0 + 9 + 3 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939) by changing a digit.

20934 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 5 ways as a sum of consecutive naturals, for example, 564 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (3783).

220934 is an apocalyptic number.

20934 is an abundant number, since it is smaller than the sum of its proper divisors (24462).

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

20934 is a wasteful number, since it uses less digits than its factorization.

20934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20934 is about 144.6858666214. The cubic root of 20934 is about 27.5603084163.

It can be divided in two parts, 209 and 34, that added together give a 5-th power (243 = 35).

The spelling of 20934 in words is "twenty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 1163 2326 3489 6978 10467 20934