117943200 has 108 divisors (see below), whose sum is σ = 415922598. Its totient is φ = 31449600.

The previous prime is 117943187. The next prime is 117943201. The reversal of 117943200 is 2349711.

It can be written as a sum of positive squares in 3 ways, for example, as 43086096 + 74857104 = 6564^2 + 8652^2 .

It is not an unprimeable number, because it can be changed into a prime (117943201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 991 + ... + 15390.

Almost surely, 2^117943200 is an apocalyptic number.

117943200 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 117943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207961299).

117943200 is an abundant number, since it is smaller than the sum of its proper divisors (297979398).

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

117943200 is a wasteful number, since it uses less digits than its factorization.

117943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407 (or 16391 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 117943200 is about 10860.1657445916. The cubic root of 117943200 is about 490.4081009425.

The spelling of 117943200 in words is "one hundred seventeen million, nine hundred forty-three thousand, two hundred".