Search a number
-
+
13566 = 2371719
BaseRepresentation
bin11010011111110
3200121110
43103332
5413231
6142450
754360
oct32376
920543
1013566
11a213
127a26
136237
144d30
154046
hex34fe

13566 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3456.

The previous prime is 13553. The next prime is 13567. The reversal of 13566 is 66531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

213566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

13566 is an abundant number, since it is smaller than the sum of its proper divisors (20994).

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

13566 is a wasteful number, since it uses less digits than its factorization.

13566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48.

The product of its digits is 540, while the sum is 21.

The square root of 13566 is about 116.4731728768. The cubic root of 13566 is about 23.8497558528.

13566 divided by its sum of digits (21) gives a palindrome (646).

The spelling of 13566 in words is "thirteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566