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10526 = 219277

10526 has 8 divisors (see below), whose sum is σ = 16680. Its totient is φ = 4968.

The previous prime is 10513. The next prime is 10529. The reversal of 10526 is 62501.

It can be divided in two parts, 105 and 26, that added together give a palindrome (131).

10526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105262 = 221593352, which contains 22 as substring.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

10526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 101 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (2085).

210526 is an apocalyptic number.

10526 is a deficient number, since it is larger than the sum of its proper divisors (6154).

10526 is a wasteful number, since it uses less digits than its factorization.

10526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10526 is about 102.5962962294. The cubic root of 10526 is about 21.9156550075.

The spelling of 10526 in words is "ten thousand, five hundred twenty-six".

Divisors: 1 2 19 38 277 554 5263 10526