| Base | Representation |
|---|---|
| bin | 111111011111110… |
| … | …1000101101100000 |
| 3 | 12111111010020220000 |
| 4 | 1332333220231200 |
| 5 | 13330414023130 |
| 6 | 551230220000 |
| 7 | 103540615665 |
| oct | 17677505540 |
| 9 | 5444106800 |
| 10 | 2130611040 |
| 11 | 9a3746678 |
| 12 | 4b5654600 |
| 13 | 27c547cbc |
| 14 | 162d77a6c |
| 15 | c70b2260 |
| hex | 7efe8b60 |
2130611040 has 240 divisors, whose sum is σ = 7618121280. Its totient is φ = 560701440.
The previous prime is 2130611039. The next prime is 2130611089. The reversal of 2130611040 is 401160312.
It is a happy number.
2130611040 is a `hidden beast` number, since 2 + 13 + 0 + 611 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 1022800 + ... + 1024880.
It is an arithmetic number, because the mean of its divisors is an integer number (31742172).
Almost surely, 22130611040 is an apocalyptic number.
2130611040 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 2130611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809060640).
2130611040 is an abundant number, since it is smaller than the sum of its proper divisors (5487510240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130611040 is a wasteful number, since it uses less digits than its factorization.
2130611040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2187 (or 2170 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2130611040 is about 46158.5424379930. The cubic root of 2130611040 is about 1286.7713744540.
Adding to 2130611040 its reverse (401160312), we get a palindrome (2531771352).
The spelling of 2130611040 in words is "two billion, one hundred thirty million, six hundred eleven thousand, forty".
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