| Base | Representation |
|---|---|
| bin | 1110000011001… |
| … | …11011001000000 |
| 3 | 22012210010000100 |
| 4 | 13001213121000 |
| 5 | 220133122000 |
| 6 | 15410122400 |
| 7 | 2630553552 |
| oct | 701473100 |
| 9 | 265703010 |
| 10 | 117864000 |
| 11 | 60592a71 |
| 12 | 33580400 |
| 13 | 1b559917 |
| 14 | 119214d2 |
| 15 | a532a00 |
| hex | 7067640 |
117864000 has 168 divisors, whose sum is σ = 421876728. Its totient is φ = 31411200.
The previous prime is 117863987. The next prime is 117864007. The reversal of 117864000 is 468711.
It is a happy number.
117864000 is a `hidden beast` number, since 1 + 17 + 8 + 640 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 88962624 = 5376^2 + 9432^2 .
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 not an unprimeable number, because it can be changed into a prime (117864007) 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 23 ways as a sum of consecutive naturals, for example, 71182 + ... + 72818.
It is an arithmetic number, because the mean of its divisors is an integer number (2511171).
Almost surely, 2117864000 is an apocalyptic number.
117864000 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 117864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210938364).
117864000 is an abundant number, since it is smaller than the sum of its proper divisors (304012728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117864000 is a wasteful number, since it uses less digits than its factorization.
117864000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 117864000 is about 10856.5187790562. The cubic root of 117864000 is about 490.2983051008.
The spelling of 117864000 in words is "one hundred seventeen million, eight hundred sixty-four thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •