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10054 = 211457

10054 has 8 divisors (see below), whose sum is σ = 16488. Its totient is φ = 4560.

The previous prime is 10039. The next prime is 10061. The reversal of 10054 is 45001.

Adding to 10054 its reverse (45001), we get a palindrome (55055).

10054 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.

10054 is a modest number, since divided by 54 gives 10 as remainder.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10054.

It is a congruent number.

It is an unprimeable number.

10054 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, 207 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (2061).

210054 is an apocalyptic number.

10054 is a deficient number, since it is larger than the sum of its proper divisors (6434).

10054 is a wasteful number, since it uses less digits than its factorization.

10054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10054 is about 100.2696364808. The cubic root of 10054 is about 21.5830571297.

The spelling of 10054 in words is "ten thousand, fifty-four".

Divisors: 1 2 11 22 457 914 5027 10054