| Base | Representation |
|---|---|
| bin | 1101110101111… |
| … | …00101000100000 |
| 3 | 22002111022012121 |
| 4 | 12322330220200 |
| 5 | 214211203000 |
| 6 | 15304434024 |
| 7 | 2606653420 |
| oct | 672745040 |
| 9 | 262438177 |
| 10 | 116116000 |
| 11 | 5a5a9740 |
| 12 | 32a78914 |
| 13 | 1b0970c0 |
| 14 | 115c8480 |
| 15 | a2d9b1a |
| hex | 6ebca20 |
116116000 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 32256000.
The previous prime is 116115997. The next prime is 116116003. The reversal of 116116000 is 611611.
It is an interprime number because it is at equal distance from previous prime (116115997) and next prime (116116003).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (116116003) 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 63 ways as a sum of consecutive naturals, for example, 4003986 + ... + 4004014.
It is an arithmetic number, because the mean of its divisors is an integer number (1031940).
Almost surely, 2116116000 is an apocalyptic number.
116116000 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 116116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).
116116000 is an abundant number, since it is smaller than the sum of its proper divisors (280148960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116116000 is a wasteful number, since it uses less digits than its factorization.
116116000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 16.
The square root of 116116000 is about 10775.7134334577. The cubic root of 116116000 is about 487.8624085806.
Adding to 116116000 its reverse (611611), we get a palindrome (116727611).
It can be divided in two parts, 1161 and 16000, that added together give a square (17161 = 1312).
The spelling of 116116000 in words is "one hundred sixteen million, one hundred sixteen thousand".
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