1130382000 has 480 divisors, whose sum is σ = 4476588480. Its totient is φ = 272448000.

The previous prime is 1130381999. The next prime is 1130382061. The reversal of 1130382000 is 2830311.

It is a super-3 number, since 3×1130382000³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6533914 + ... + 6534086.

It is an arithmetic number, because the mean of its divisors is an integer number (9326226).

Almost surely, 2^1130382000 is an apocalyptic number.

1130382000 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 1130382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238294240).

1130382000 is an abundant number, since it is smaller than the sum of its proper divisors (3346206480).

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

1130382000 is a wasteful number, since it uses less digits than its factorization.

1130382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130382000 is about 33621.1540551481. The cubic root of 1130382000 is about 1041.6977939143.

The spelling of 1130382000 in words is "one billion, one hundred thirty million, three hundred eighty-two thousand".