| Base | Representation |
|---|---|
| bin | 1101110111111… |
| … | …01010010000000 |
| 3 | 22002222202110000 |
| 4 | 12323331102000 |
| 5 | 214243141200 |
| 6 | 15314240000 |
| 7 | 2612135424 |
| oct | 673752200 |
| 9 | 262882400 |
| 10 | 116380800 |
| 11 | 5a76a688 |
| 12 | 32b86000 |
| 13 | 1b15a7a3 |
| 14 | 11656b84 |
| 15 | a33d300 |
| hex | 6efd480 |
116380800 has 240 divisors, whose sum is σ = 430427250. Its totient is φ = 30965760.
The previous prime is 116380787. The next prime is 116380813. The reversal of 116380800 is 8083611.
It is an interprime number because it is at equal distance from previous prime (116380787) and next prime (116380813).
It can be written as a sum of positive squares in 3 ways, for example, as 91699776 + 24681024 = 9576^2 + 4968^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258976 + ... + 259424.
Almost surely, 2116380800 is an apocalyptic number.
116380800 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 116380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215213625).
116380800 is an abundant number, since it is smaller than the sum of its proper divisors (314046450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116380800 is an equidigital number, since it uses as much as digits as its factorization.
116380800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 485 (or 459 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 116380800 is about 10787.9933259156. The cubic root of 116380800 is about 488.2329802161.
116380800 divided by its product of nonzero digits (1152) gives a triangular number (101025 = T449).
The spelling of 116380800 in words is "one hundred sixteen million, three hundred eighty thousand, eight hundred".
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