Search a number
-
+
116008200 = 23355271131
BaseRepresentation
bin1101110101000…
…10010100001000
322002021211100000
412322202110020
5214144230300
615302243000
72606024220
oct672422410
9262254300
10116008200
115a535750
1232a26460
131b05a009
141159b080
15a2b7c00
hex6ea2508

116008200 has 576 divisors, whose sum is σ = 519966720. Its totient is φ = 23328000.

The previous prime is 116008183. The next prime is 116008201. The reversal of 116008200 is 2800611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116008201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3742185 + ... + 3742215.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2116008200 is an apocalyptic number.

116008200 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 116008200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

116008200 is an abundant number, since it is smaller than the sum of its proper divisors (403958520).

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

116008200 is a wasteful number, since it uses less digits than its factorization.

116008200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116008200 is about 10770.7102829851. The cubic root of 116008200 is about 487.7113876157.

Adding to 116008200 its reverse (2800611), we get a palindrome (118808811).

The spelling of 116008200 in words is "one hundred sixteen million, eight thousand, two hundred".