Search a number
BaseRepresentation
bin10100001111101
3112012220
42201331
5312430
6115553
742135
oct24175
915186
1010365
117873
125bb9
134944
143ac5
153110
hex287d

10365 has 8 divisors (see below), whose sum is σ = 16608. Its totient is φ = 5520.

The previous prime is 10357. The next prime is 10369. The reversal of 10365 is 56301.

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

It is not a de Polignac number, because 10365 - 23 = 10357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 691 = 10365 / (1 + 0 + 3 + 6 + 5).

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

It is a Curzon number.

10365 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10365.

It is not an unprimeable number, because it can be changed into a prime (10369) 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, 331 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (2076).

210365 is an apocalyptic number.

10365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10365 is a deficient number, since it is larger than the sum of its proper divisors (6243).

10365 is an equidigital number, since it uses as much as digits as its factorization.

10365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10365 is about 101.8086440338. The cubic root of 10365 is about 21.8033437623.

Adding to 10365 its reverse (56301), we get a palindrome (66666).

The spelling of 10365 in words is "ten thousand, three hundred sixty-five".

Divisors: 1 3 5 15 691 2073 3455 10365