| Base | Representation |
|---|---|
| bin | 1010001101111101… |
| … | …1101111000000000 |
| 3 | 21002011022112111200 |
| 4 | 2203133131320000 |
| 5 | 21104142410130 |
| 6 | 1132102341200 |
| 7 | 124654364106 |
| oct | 24337357000 |
| 9 | 7064275450 |
| 10 | 2742935040 |
| 11 | 118835176a |
| 12 | 64672a800 |
| 13 | 34936a1b1 |
| 14 | 1c040bc76 |
| 15 | 110c16760 |
| hex | a37dde00 |
2742935040 has 480 divisors, whose sum is σ = 10341302400. Its totient is φ = 669253632.
The previous prime is 2742935033. The next prime is 2742935051. The reversal of 2742935040 is 405392472.
2742935040 is a `hidden beast` number, since 27 + 42 + 93 + 504 + 0 = 666.
2742935040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2742934986 and 2742935004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18408886 + ... + 18409034.
It is an arithmetic number, because the mean of its divisors is an integer number (21544380).
Almost surely, 22742935040 is an apocalyptic number.
2742935040 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 2742935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170651200).
2742935040 is an abundant number, since it is smaller than the sum of its proper divisors (7598367360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2742935040 is a wasteful number, since it uses less digits than its factorization.
2742935040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 242 (or 223 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 2742935040 is about 52373.0373379280. The cubic root of 2742935040 is about 1399.8188609181.
The spelling of 2742935040 in words is "two billion, seven hundred forty-two million, nine hundred thirty-five thousand, forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.092 sec. • engine limits •