| Base | Representation |
|---|---|
| bin | 10000001100111… |
| … | …010011101100000 |
| 3 | 200221110220211010 |
| 4 | 100030322131200 |
| 5 | 1024041230030 |
| 6 | 42550020520 |
| 7 | 6510303000 |
| oct | 2014723540 |
| 9 | 627426733 |
| 10 | 271820640 |
| 11 | 12a487963 |
| 12 | 77047740 |
| 13 | 44412720 |
| 14 | 2815a000 |
| 15 | 18ce46b0 |
| hex | 1033a760 |
271820640 has 384 divisors, whose sum is σ = 1083801600. Its totient is φ = 56899584.
The previous prime is 271820639. The next prime is 271820641. The reversal of 271820640 is 46028172.
271820640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (271820639) and next prime (271820641).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 271820598 and 271820607.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (271820641) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140257 + ... + 2140383.
It is an arithmetic number, because the mean of its divisors is an integer number (2822400).
Almost surely, 2271820640 is an apocalyptic number.
271820640 is a gapful number since it is divisible by the number (20) 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 271820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541900800).
271820640 is an abundant number, since it is smaller than the sum of its proper divisors (811980960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
271820640 is a wasteful number, since it uses less digits than its factorization.
271820640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 30.
The square root of 271820640 is about 16486.9839570493. The cubic root of 271820640 is about 647.7799130648.
The spelling of 271820640 in words is "two hundred seventy-one million, eight hundred twenty thousand, six hundred forty".
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