Cookie Consent by FreePrivacyPolicy.com
Search a number
10566 = 232587
BaseRepresentation
bin10100101000110
3112111100
42211012
5314231
6120530
742543
oct24506
915440
1010566
117a36
126146
134a6a
143bca
1531e6
hex2946

10566 has 12 divisors (see below), whose sum is σ = 22932. Its totient is φ = 3516.

The previous prime is 10559. The next prime is 10567. The reversal of 10566 is 66501.

It is a super-2 number, since 2×105662 = 223280712, which contains 22 as substring.

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: 587 = 10566 / (1 + 0 + 5 + 6 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 276 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

210566 is an apocalyptic number.

10566 is an abundant number, since it is smaller than the sum of its proper divisors (12366).

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

10566 is a wasteful number, since it uses less digits than its factorization.

10566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10566 is about 102.7910501941. The cubic root of 10566 is about 21.9433805795.

It can be divided in two parts, 1056 and 6, that multiplied together give a palindrome (6336).

The spelling of 10566 in words is "ten thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 587 1174 1761 3522 5283 10566