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10023 = 313257
BaseRepresentation
bin10011100100111
3111202020
42130213
5310043
6114223
741136
oct23447
914666
1010023
117592
125973
134740
14391d
152e83
hex2727

10023 has 8 divisors (see below), whose sum is σ = 14448. Its totient is φ = 6144.

The previous prime is 10009. The next prime is 10037. The reversal of 10023 is 32001.

10023 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10009) and next prime (10037).

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

It is not a de Polignac number, because 10023 - 24 = 10007 is a prime.

10023 is an undulating number in base 16.

It is a plaindrome in base 8 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 9993 and 10020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1806).

10023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10023 is a deficient number, since it is larger than the sum of its proper divisors (4425).

10023 is a wasteful number, since it uses less digits than its factorization.

10023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

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

The square root of 10023 is about 100.1149339509. The cubic root of 10023 is about 21.5608515858.

Adding to 10023 its reverse (32001), we get a palindrome (42024).

The spelling of 10023 in words is "ten thousand, twenty-three", and thus it is an iban number.

Divisors: 1 3 13 39 257 771 3341 10023