11251980 has 96 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 2946240.

The previous prime is 11251979. The next prime is 11252023. The reversal of 11251980 is 8915211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 36025 + ... + 36335.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^11251980 is an apocalyptic number.

11251980 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 11251980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

11251980 is an abundant number, since it is smaller than the sum of its proper divisors (24390900).

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

11251980 is a wasteful number, since it uses less digits than its factorization.

11251980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11251980 is about 3354.3971142368. The cubic root of 11251980 is about 224.0833820107.

The spelling of 11251980 in words is "eleven million, two hundred fifty-one thousand, nine hundred eighty".