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13248 = 263223
BaseRepresentation
bin11001111000000
3200011200
43033000
5410443
6141200
753424
oct31700
920150
1013248
119a54
127800
136051
144b84
153dd3
hex33c0

13248 has 42 divisors (see below), whose sum is σ = 39624. Its totient is φ = 4224.

The previous prime is 13241. The next prime is 13249. The reversal of 13248 is 84231.

Adding to 13248 its reverse (84231), we get a palindrome (97479).

It can be divided in two parts, 132 and 48, that multiplied together give a palindrome (6336).

It is a happy number.

13248 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241) by changing a digit.

13248 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, 565 + ... + 587.

213248 is an apocalyptic number.

13248 is a gapful number since it is divisible by the number (18) 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 13248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812).

13248 is an abundant number, since it is smaller than the sum of its proper divisors (26376).

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

13248 is a wasteful number, since it uses less digits than its factorization.

13248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13248 is about 115.0999565595. The cubic root of 13248 is about 23.6619267988.

The spelling of 13248 in words is "thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248