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21294 = 2327132
BaseRepresentation
bin101001100101110
31002012200
411030232
51140134
6242330
7116040
oct51456
932180
1021294
1114aa9
12103a6
139900
147a90
156499
hex532e

21294 has 36 divisors (see below), whose sum is σ = 57096. Its totient is φ = 5616.

The previous prime is 21283. The next prime is 21313. The reversal of 21294 is 49212.

Adding to 21294 its sum of digits (18), we get a palindrome (21312).

It can be divided in two parts, 2 and 1294, that added together give a 4-th power (1296 = 64).

21294 is digitally balanced in base 4, because in such base 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 (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1632 + ... + 1644.

It is an arithmetic number, because the mean of its divisors is an integer number (1586).

221294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28548).

21294 is an abundant number, since it is smaller than the sum of its proper divisors (35802).

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

21294 is a wasteful number, since it uses less digits than its factorization.

21294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 21294 is about 145.9246380842. The cubic root of 21294 is about 27.7173953563.

The spelling of 21294 in words is "twenty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 21294