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10309 = 13261
BaseRepresentation
bin10100001000101
3112010211
42201011
5312214
6115421
742025
oct24105
915124
1010309
117822
125b71
134900
143a85
1530c4
hex2845

10309 has 6 divisors (see below), whose sum is σ = 11346. Its totient is φ = 9360.

The previous prime is 10303. The next prime is 10313. The reversal of 10309 is 90301.

It is a happy number.

10309 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 3 ways, for example, as 900 + 9409 = 30^2 + 97^2 .

It is not a de Polignac number, because 10309 - 23 = 10301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (1891).

It is an amenable number.

10309 is a deficient number, since it is larger than the sum of its proper divisors (1037).

10309 is an equidigital number, since it uses as much as digits as its factorization.

10309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 10309 is about 101.5332457868. The cubic root of 10309 is about 21.7640064801.

Subtracting from 10309 its sum of digits (13), we obtain a triangular number (10296 = T143).

The spelling of 10309 in words is "ten thousand, three hundred nine".

Divisors: 1 13 61 169 793 10309