11430720 has 294 divisors, whose sum is σ = 47473362. Its totient is φ = 2612736.

The previous prime is 11430707. The next prime is 11430737. The reversal of 11430720 is 2703411.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 2286144 = 3024^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a super-2 number, since 2×11430720² = 261322719436800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11430693 and 11430702.

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 41 ways as a sum of consecutive naturals, for example, 1632957 + ... + 1632963.

Almost surely, 2^11430720 is an apocalyptic number.

11430720 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 11430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736681).

11430720 is an abundant number, since it is smaller than the sum of its proper divisors (36042642).

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

11430720 is an frugal number, since it uses more digits than its factorization.

11430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11430720 is about 3380.9347819797. The cubic root of 11430720 is about 225.2636908443.

The spelling of 11430720 in words is "eleven million, four hundred thirty thousand, seven hundred twenty".