| Base | Representation |
|---|---|
| bin | 110101010111… |
| … | …1001101100000 |
| 3 | 1221122120020000 |
| 4 | 1222233031200 |
| 5 | 24130340030 |
| 6 | 2435420000 |
| 7 | 456555132 |
| oct | 152571540 |
| 9 | 57576200 |
| 10 | 27980640 |
| 11 | 148812a6 |
| 12 | 9454600 |
| 13 | 5a48abc |
| 14 | 3a05052 |
| 15 | 26ca860 |
| hex | 1aaf360 |
27980640 has 240 divisors, whose sum is σ = 105380352. Its totient is φ = 6967296.
The previous prime is 27980633. The next prime is 27980647. The reversal of 27980640 is 4608972.
27980640 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 0 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (27980633) and next prime (27980647).
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 27980595 and 27980604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27980647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220257 + ... + 220383.
Almost surely, 227980640 is an apocalyptic number.
27980640 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 27980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).
27980640 is an abundant number, since it is smaller than the sum of its proper divisors (77399712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27980640 is a wasteful number, since it uses less digits than its factorization.
27980640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 154 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 27980640 is about 5289.6729577546. The cubic root of 27980640 is about 303.5888949054.
The spelling of 27980640 in words is "twenty-seven million, nine hundred eighty thousand, six hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.095 sec. • engine limits •