| Base | Representation |
|---|---|
| bin | 110100001011… |
| … | …011111100000 |
| 3 | 221201221110100 |
| 4 | 310023133200 |
| 5 | 12000203220 |
| 6 | 1205102400 |
| 7 | 224160120 |
| oct | 64133740 |
| 9 | 27657410 |
| 10 | 13678560 |
| 11 | 77a29a5 |
| 12 | 46b7a00 |
| 13 | 2aac02c |
| 14 | 1b60c80 |
| 15 | 1302d90 |
| hex | d0b7e0 |
13678560 has 288 divisors, whose sum is σ = 56609280. Its totient is φ = 2939904.
The previous prime is 13678549. The next prime is 13678571. The reversal of 13678560 is 6587631.
13678560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13678549) and next prime (13678571).
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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, 231811 + ... + 231869.
It is an arithmetic number, because the mean of its divisors is an integer number (196560).
Almost surely, 213678560 is an apocalyptic number.
13678560 is a gapful number since it is divisible by the number (10) 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 13678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).
13678560 is an abundant number, since it is smaller than the sum of its proper divisors (42930720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13678560 is a wasteful number, since it uses less digits than its factorization.
13678560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 13678560 is about 3698.4537309530. The cubic root of 13678560 is about 239.1553642809.
The spelling of 13678560 in words is "thirteen million, six hundred seventy-eight thousand, five hundred sixty".
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