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10027 = 37271
BaseRepresentation
bin10011100101011
3111202101
42130223
5310102
6114231
741143
oct23453
914671
1010027
117596
125977
134744
143923
152e87
hex272b

10027 has 4 divisors (see below), whose sum is σ = 10336. Its totient is φ = 9720.

The previous prime is 10009. The next prime is 10037. The reversal of 10027 is 72001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72001 = 89809.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10027 is a prime.

It is a Duffinian number.

10027 is a modest number, since divided by 27 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9995 and 10022.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99 + ... + 172.

It is an arithmetic number, because the mean of its divisors is an integer number (2584).

210027 is an apocalyptic number.

10027 is a deficient number, since it is larger than the sum of its proper divisors (309).

10027 is an equidigital number, since it uses as much as digits as its factorization.

10027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10027 is about 100.1349089978. The cubic root of 10027 is about 21.5637193877.

Adding to 10027 its reverse (72001), we get a palindrome (82028).

The spelling of 10027 in words is "ten thousand, twenty-seven", and thus it is an iban number.

Divisors: 1 37 271 10027