115248 has 50 divisors (see below), whose sum is σ = 347324. Its totient is φ = 32928.

The previous prime is 115237. The next prime is 115249. The reversal of 115248 is 842511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (115249) by changing a digit.

115248 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 9 ways as a sum of consecutive naturals, for example, 16461 + ... + 16467.

115248 is a Friedman number, since it can be written as (8+5+1)^4*(2+1), using all its digits and the basic arithmetic operations.

2^{115248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173662).

115248 is an abundant number, since it is smaller than the sum of its proper divisors (232076).

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

115248 is an frugal number, since it uses more digits than its factorization.

115248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 115248 is about 339.4819582835. The cubic root of 115248 is about 48.6643730284.

Adding to 115248 its reverse (842511), we get a palindrome (957759).

It can be divided in two parts, 115 and 248, that added together give a palindrome (363).

The spelling of 115248 in words is "one hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 9604 14406 16464 19208 28812 38416 57624 115248

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