11310048 has 72 divisors (see below), whose sum is σ = 32491368. Its totient is φ = 3731712.

The previous prime is 11310037. The next prime is 11310059. The reversal of 11310048 is 84001311.

It is an interprime number because it is at equal distance from previous prime (11310037) and next prime (11310059).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11310048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49711 + ... + 49937.

It is an arithmetic number, because the mean of its divisors is an integer number (451269).

Almost surely, 2^11310048 is an apocalyptic number.

11310048 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 11310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245684).

11310048 is an abundant number, since it is smaller than the sum of its proper divisors (21181320).

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

11310048 is a wasteful number, since it uses less digits than its factorization.

11310048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11310048 is about 3363.0414805649. The cubic root of 11310048 is about 224.4681958839.

Adding to 11310048 its reverse (84001311), we get a palindrome (95311359).

The spelling of 11310048 in words is "eleven million, three hundred ten thousand, forty-eight".