| Base | Representation |
|---|---|
| bin | 110100101101… |
| … | …1101101110000 |
| 3 | 1221000012002100 |
| 4 | 1221123231300 |
| 5 | 24033414030 |
| 6 | 2424220400 |
| 7 | 453632061 |
| oct | 151335560 |
| 9 | 57005070 |
| 10 | 27638640 |
| 11 | 14668357 |
| 12 | 930a700 |
| 13 | 5959233 |
| 14 | 3956568 |
| 15 | 265e360 |
| hex | 1a5bb70 |
27638640 has 120 divisors (see below), whose sum is σ = 96913440. Its totient is φ = 7045632.
The previous prime is 27638623. The next prime is 27638641. The reversal of 27638640 is 4683672.
27638640 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×276386403 (a number of 23 digits) contains 333 as substring.
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 = 27638595 and 27638604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27638641) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15726 + ... + 17394.
It is an arithmetic number, because the mean of its divisors is an integer number (807612).
Almost surely, 227638640 is an apocalyptic number.
27638640 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 27638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48456720).
27638640 is an abundant number, since it is smaller than the sum of its proper divisors (69274800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27638640 is a wasteful number, since it uses less digits than its factorization.
27638640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1711 (or 1702 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 27638640 is about 5257.2464275512. The cubic root of 27638640 is about 302.3469252616.
The spelling of 27638640 in words is "twenty-seven million, six hundred thirty-eight thousand, six hundred forty".
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