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21324 = 2231777
BaseRepresentation
bin101001101001100
31002020210
411031030
51140244
6242420
7116112
oct51514
932223
1021324
1115026
1210410
139924
147ab2
1564b9
hex534c

21324 has 12 divisors (see below), whose sum is σ = 49784. Its totient is φ = 7104.

The previous prime is 21323. The next prime is 21341. The reversal of 21324 is 42312.

Subtracting from 21324 its sum of digits (12), we obtain a palindrome (21312).

Adding to 21324 its reverse (42312), we get a palindrome (63636).

It can be divided in two parts, 2 and 1324, that added together give a triangular number (1326 = T51).

21324 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1777 = 21324 / (2 + 1 + 3 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 877 + ... + 900.

221324 is an apocalyptic number.

It is an amenable number.

21324 is an abundant number, since it is smaller than the sum of its proper divisors (28460).

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 (24892).

21324 is a wasteful number, since it uses less digits than its factorization.

21324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 21324 is about 146.0273946902. The cubic root of 21324 is about 27.7304057766.

The spelling of 21324 in words is "twenty-one thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 1777 3554 5331 7108 10662 21324