11371520 has 44 divisors (see below), whose sum is σ = 27290604. Its totient is φ = 4546560.

The previous prime is 11371517. The next prime is 11371523. The reversal of 11371520 is 2517311.

It is an interprime number because it is at equal distance from previous prime (11371517) and next prime (11371523).

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 5456896 = 2432^2 + 2336^2 .

It is a super-2 number, since 2×11371520² = 258622934220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11371492 and 11371501.

It is not an unprimeable number, because it can be changed into a prime (11371523) 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 3 ways as a sum of consecutive naturals, for example, 4010 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (620241).

Almost surely, 2^11371520 is an apocalyptic number.

11371520 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 11371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645302).

11371520 is an abundant number, since it is smaller than the sum of its proper divisors (15919084).

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

11371520 is an equidigital number, since it uses as much as digits as its factorization.

11371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 11371520 is about 3372.1684418190. The cubic root of 11371520 is about 224.8741353660.

Adding to 11371520 its reverse (2517311), we get a palindrome (13888831).

The spelling of 11371520 in words is "eleven million, three hundred seventy-one thousand, five hundred twenty".