11482920 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3027840.

The previous prime is 11482909. The next prime is 11482931. The reversal of 11482920 is 2928411.

It is an interprime number because it is at equal distance from previous prime (11482909) and next prime (11482931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60025 + ... + 60215.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^11482920 is an apocalyptic number.

11482920 is a gapful number since it is divisible by the number (10) 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 11482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11482920 is an abundant number, since it is smaller than the sum of its proper divisors (26256600).

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

11482920 is a wasteful number, since it uses less digits than its factorization.

11482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11482920 is about 3388.6457471975. The cubic root of 11482920 is about 225.6060697024.

The spelling of 11482920 in words is "eleven million, four hundred eighty-two thousand, nine hundred twenty".