11205420 has 24 divisors (see below), whose sum is σ = 31375344. Its totient is φ = 2988096.

The previous prime is 11205409. The next prime is 11205443. The reversal of 11205420 is 2450211.

11205420 = 1180² + 1181² + ... + 1187².

It is a super-2 number, since 2×11205420² = 251122874752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11205420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93319 + ... + 93438.

It is an arithmetic number, because the mean of its divisors is an integer number (1307306).

Almost surely, 2^11205420 is an apocalyptic number.

11205420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205420 is an abundant number, since it is smaller than the sum of its proper divisors (20169924).

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

11205420 is a wasteful number, since it uses less digits than its factorization.

11205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186769 (or 186767 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11205420 is about 3347.4497755754. The cubic root of 11205420 is about 223.7738736321.

Adding to 11205420 its reverse (2450211), we get a palindrome (13655631).

The spelling of 11205420 in words is "eleven million, two hundred five thousand, four hundred twenty".