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BaseRepresentation
bin10100001110001
3112012110
42201301
5312403
6115533
742120
oct24161
915173
1010353
117862
125ba9
134935
143ab7
153103
hex2871

10353 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 5376.

The previous prime is 10343. The next prime is 10357. The reversal of 10353 is 35301.

It is a happy number.

It is not a de Polignac number, because 10353 - 24 = 10337 is a prime.

It is a Curzon number.

It is a zygodrome in base 6.

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 15 ways as a sum of consecutive naturals, for example, 343 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

210353 is an apocalyptic number.

It is an amenable number.

10353 is a deficient number, since it is larger than the sum of its proper divisors (6927).

10353 is a wasteful number, since it uses less digits than its factorization.

10353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 10353 is about 101.7496928742. The cubic root of 10353 is about 21.7949262945.

Adding to 10353 its reverse (35301), we get a palindrome (45654).

It can be divided in two parts, 10 and 353, that added together give a palindrome (363).

The spelling of 10353 in words is "ten thousand, three hundred fifty-three".