11254980 has 48 divisors (see below), whose sum is σ = 34380864. Its totient is φ = 2728320.

The previous prime is 11254979. The next prime is 11255021. The reversal of 11254980 is 8945211.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 7867 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (716268).

Almost surely, 2^11254980 is an apocalyptic number.

11254980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11254980 is an abundant number, since it is smaller than the sum of its proper divisors (23125884).

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

11254980 is a wasteful number, since it uses less digits than its factorization.

11254980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17076 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 11254980 is about 3354.8442586803. The cubic root of 11254980 is about 224.1032952588.

It can be divided in two parts, 1125 and 4980, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 11254980 in words is "eleven million, two hundred fifty-four thousand, nine hundred eighty".