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10014 = 231669
BaseRepresentation
bin10011100011110
3111201220
42130132
5310024
6114210
741124
oct23436
914656
1010014
117584
125966
134734
143914
152e79
hex271e

10014 has 8 divisors (see below), whose sum is σ = 20040. Its totient is φ = 3336.

The previous prime is 10009. The next prime is 10037. The reversal of 10014 is 41001.

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

10014 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (6), and also a Moran number because the ratio is a prime number: 1669 = 10014 / (1 + 0 + 0 + 1 + 4).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9984 and 10011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (2505).

210014 is an apocalyptic number.

10014 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020).

10014 is a wasteful number, since it uses less digits than its factorization.

10014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10014 is about 100.0699755171. The cubic root of 10014 is about 21.5543962406.

Adding to 10014 its reverse (41001), we get a palindrome (51015).

It can be divided in two parts, 1001 and 4, that multiplied together give a palindrome (4004).

The spelling of 10014 in words is "ten thousand, fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 1669 3338 5007 10014