1117727730 has 216 divisors, whose sum is σ = 3595204548. Its totient is φ = 240178176.

The previous prime is 1117727719. The next prime is 1117727753. The reversal of 1117727730 is 377277111.

It can be written as a sum of positive squares in 6 ways, for example, as 969886449 + 147841281 = 31143^2 + 12159^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1274052 + ... + 1274928.

Almost surely, 2^1117727730 is an apocalyptic number.

1117727730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117727730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797602274).

1117727730 is an abundant number, since it is smaller than the sum of its proper divisors (2477476818).

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

1117727730 is a wasteful number, since it uses less digits than its factorization.

1117727730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 36.

The square root of 1117727730 is about 33432.4352986737. The cubic root of 1117727730 is about 1037.7960384221.

The spelling of 1117727730 in words is "one billion, one hundred seventeen million, seven hundred twenty-seven thousand, seven hundred thirty".