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10359 = 321151
BaseRepresentation
bin10100001110111
3112012200
42201313
5312414
6115543
742126
oct24167
915180
1010359
117868
125bb3
13493b
143abd
153109
hex2877

10359 has 6 divisors (see below), whose sum is σ = 14976. Its totient is φ = 6900.

The previous prime is 10357. The next prime is 10369. The reversal of 10359 is 95301.

10359 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10359 - 21 = 10357 is a prime.

It is a super-3 number, since 3×103593 = 3334838094837, which contains 333 as substring.

It is a plaindrome in base 14.

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 10359.

It is not an unprimeable number, because it can be changed into a prime (10357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

210359 is an apocalyptic number.

10359 is a deficient number, since it is larger than the sum of its proper divisors (4617).

10359 is a wasteful number, since it uses less digits than its factorization.

10359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

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

The square root of 10359 is about 101.7791727221. The cubic root of 10359 is about 21.7991358410.

The spelling of 10359 in words is "ten thousand, three hundred fifty-nine".

Divisors: 1 3 9 1151 3453 10359