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10300 = 2252103
BaseRepresentation
bin10100000111100
3112010111
42200330
5312200
6115404
742013
oct24074
915114
1010300
117814
125b64
1348c4
143a7a
1530ba
hex283c

10300 has 18 divisors (see below), whose sum is σ = 22568. Its totient is φ = 4080.

The previous prime is 10289. The next prime is 10301. The reversal of 10300 is 301.

Adding to 10300 its reverse (301), we get a palindrome (10601).

Subtracting from 10300 its reverse (301), we obtain a palindrome (9999).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10300.

It is a congruent number.

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

10300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49 + ... + 151.

10300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284).

10300 is an abundant number, since it is smaller than the sum of its proper divisors (12268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10300 is a wasteful number, since it uses less digits than its factorization.

10300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 10300 is about 101.4889156509. The cubic root of 10300 is about 21.7576711392.

The spelling of 10300 in words is "ten thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300