| Base | Representation |
|---|---|
| bin | 10011011111111… |
| … | …101111001110000 |
| 3 | 211210120210111000 |
| 4 | 103133331321300 |
| 5 | 1132222201440 |
| 6 | 52243522000 |
| 7 | 11051463456 |
| oct | 2337757160 |
| 9 | 753523430 |
| 10 | 327147120 |
| 11 | 158736523 |
| 12 | 91689300 |
| 13 | 52a143a1 |
| 14 | 3163c9d6 |
| 15 | 1dac2730 |
| hex | 137fde70 |
327147120 has 160 divisors (see below), whose sum is σ = 1132784640. Its totient is φ = 86780160.
The previous prime is 327147113. The next prime is 327147127. The reversal of 327147120 is 21741723.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (327147113) and next prime (327147127).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (327147127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671517 + ... + 672003.
It is an arithmetic number, because the mean of its divisors is an integer number (7079904).
Almost surely, 2327147120 is an apocalyptic number.
327147120 is a gapful number since it is divisible by the number (30) 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 327147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566392320).
327147120 is an abundant number, since it is smaller than the sum of its proper divisors (805637520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
327147120 is a wasteful number, since it uses less digits than its factorization.
327147120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 820 (or 808 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 327147120 is about 18087.2087398802. The cubic root of 327147120 is about 689.0451821739.
Adding to 327147120 its reverse (21741723), we get a palindrome (348888843).
The spelling of 327147120 in words is "three hundred twenty-seven million, one hundred forty-seven thousand, one hundred twenty".
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