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20124 = 22321343
BaseRepresentation
bin100111010011100
31000121100
410322130
51120444
6233100
7112446
oct47234
930540
1020124
1114135
12b790
139210
147496
155e69
hex4e9c

20124 has 36 divisors (see below), whose sum is σ = 56056. Its totient is φ = 6048.

The previous prime is 20123. The next prime is 20129. The reversal of 20124 is 42102.

20124 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 7.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 489.

220124 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 20124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28028).

20124 is an abundant number, since it is smaller than the sum of its proper divisors (35932).

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

20124 is a wasteful number, since it uses less digits than its factorization.

20124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20124 is about 141.8590850104. The cubic root of 20124 is about 27.2001585919.

Adding to 20124 its reverse (42102), we get a palindrome (62226).

It can be divided in two parts, 2012 and 4, that added together give a triangular number (2016 = T63).

The spelling of 20124 in words is "twenty thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 20124