11290752 has 168 divisors, whose sum is σ = 37069095. Its totient is φ = 3421440.

The previous prime is 11290751. The next prime is 11290787. The reversal of 11290752 is 25709211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 5645376 = 2376^2 + 2376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2376.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11290751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1026427 + ... + 1026437.

Almost surely, 2^11290752 is an apocalyptic number.

11290752 is a gapful number since it is divisible by the number (12) 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 11290752

11290752 is an abundant number, since it is smaller than the sum of its proper divisors (25778343).

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

11290752 is an frugal number, since it uses more digits than its factorization.

11290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11290752 is about 3360.1714241985. The cubic root of 11290752 is about 224.3404686373.

Adding to 11290752 its reverse (25709211), we get a palindrome (36999963).

The spelling of 11290752 in words is "eleven million, two hundred ninety thousand, seven hundred fifty-two".