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10395 = 335711
BaseRepresentation
bin10100010011011
3112021000
42202123
5313040
6120043
742210
oct24233
915230
1010395
1178a0
126023
134968
143b07
153130
hex289b

10395 has 32 divisors (see below), whose sum is σ = 23040. Its totient is φ = 4320.

The previous prime is 10391. The next prime is 10399. The reversal of 10395 is 59301.

10395 divided by its product of nonzero digits (135) gives a palindrome (77).

Adding to 10395 its reverse (59301), we get a palindrome (69696).

It is a double factorial (10395 = 11 !! = 1 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 9 ⋅ 11 ).

10395 is digitally balanced in base 2, 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 (10391) and next prime (10399).

It is not a de Polignac number, because 10395 - 22 = 10391 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

210395 is an apocalyptic number.

10395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10395 is an abundant number, since it is smaller than the sum of its proper divisors (12645).

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 (11520).

10395 is a wasteful number, since it uses less digits than its factorization.

10395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10395 is about 101.9558728078. The cubic root of 10395 is about 21.8243590464.

The spelling of 10395 in words is "ten thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395