| Base | Representation |
|---|---|
| bin | 101010010010001100000 |
| 3 | 2121101122100 |
| 4 | 11102101200 |
| 5 | 323314233 |
| 6 | 45410400 |
| 7 | 14530362 |
| oct | 5222140 |
| 9 | 2541570 |
| 10 | 1385568 |
| 11 | 866aa8 |
| 12 | 569a00 |
| 13 | 396882 |
| 14 | 280d32 |
| 15 | 1c5813 |
| hex | 152460 |
1385568 has 72 divisors (see below), whose sum is σ = 4186728. Its totient is φ = 433152.
The previous prime is 1385563. The next prime is 1385569. The reversal of 1385568 is 8655831.
1385568 is a `hidden beast` number, since 13 + 85 + 568 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1385561) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4755 + ... + 5037.
It is an arithmetic number, because the mean of its divisors is an integer number (58149).
21385568 is an apocalyptic number.
1385568 is a gapful number since it is divisible by the number (18) 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 1385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093364).
1385568 is an abundant number, since it is smaller than the sum of its proper divisors (2801160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1385568 is a wasteful number, since it uses less digits than its factorization.
1385568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 316 (or 305 counting only the distinct ones).
The product of its digits is 28800, while the sum is 36.
The square root of 1385568 is about 1177.1015249332. The cubic root of 1385568 is about 111.4831628809.
It can be divided in two parts, 1385 and 568, that added together give a triangular number (1953 = T62).
The spelling of 1385568 in words is "one million, three hundred eighty-five thousand, five hundred sixty-eight".
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