1115741000 has 96 divisors (see below), whose sum is σ = 2870070840. Its totient is φ = 405680000.

The previous prime is 1115740999. The next prime is 1115741021. The reversal of 1115741000 is 1475111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 595262404 + 520478596 = 24398^2 + 22814^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 116390 + ... + 125610.

Almost surely, 2^1115741000 is an apocalyptic number.

1115741000 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 1115741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435035420).

1115741000 is an abundant number, since it is smaller than the sum of its proper divisors (1754329840).

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

1115741000 is a wasteful number, since it uses less digits than its factorization.

1115741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1115741000 is about 33402.7094709396. The cubic root of 1115741000 is about 1037.1807892026.

The spelling of 1115741000 in words is "one billion, one hundred fifteen million, seven hundred forty-one thousand".