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13230 = 233572
BaseRepresentation
bin11001110101110
3200011000
43032232
5410410
6141130
753400
oct31656
920130
1013230
119a38
1277a6
136039
144b70
153dc0
hex33ae

13230 has 48 divisors (see below), whose sum is σ = 41040. Its totient is φ = 3024.

The previous prime is 13229. The next prime is 13241. The reversal of 13230 is 3231.

Adding to 13230 its reverse (3231), we get a palindrome (16461).

Subtracting from 13230 its reverse (3231), we obtain a palindrome (9999).

It can be divided in two parts, 13 and 230, that added together give a 5-th power (243 = 35).

13230 = 562 + 572 + ... + 592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

213230 is an apocalyptic number.

13230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520).

13230 is an abundant number, since it is smaller than the sum of its proper divisors (27810).

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

13230 is a wasteful number, since it uses less digits than its factorization.

13230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13230 is about 115.0217370761. The cubic root of 13230 is about 23.6512054893.

The spelling of 13230 in words is "thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230