| Base | Representation |
|---|---|
| bin | 110100001011… |
| … | …111111000000 |
| 3 | 221202001020000 |
| 4 | 310023333000 |
| 5 | 12000234301 |
| 6 | 1205120000 |
| 7 | 224166030 |
| oct | 64137700 |
| 9 | 27661200 |
| 10 | 13680576 |
| 11 | 77a4468 |
| 12 | 46b9000 |
| 13 | 2aacc20 |
| 14 | 1b618c0 |
| 15 | 1303786 |
| hex | d0bfc0 |
13680576 has 280 divisors, whose sum is σ = 51633120. Its totient is φ = 3483648.
The previous prime is 13680559. The next prime is 13680577. The reversal of 13680576 is 67508631.
13680576 is a `hidden beast` number, since 1 + 3 + 6 + 80 + 576 = 666.
13680576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 13680576.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13680577) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471730 + ... + 471758.
It is an arithmetic number, because the mean of its divisors is an integer number (184404).
Almost surely, 213680576 is an apocalyptic number.
13680576 is a gapful number since it is divisible by the number (16) 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 13680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25816560).
13680576 is an abundant number, since it is smaller than the sum of its proper divisors (37952544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13680576 is a wasteful number, since it uses less digits than its factorization.
13680576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 13680576 is about 3698.7262672439. The cubic root of 13680576 is about 239.1671129233.
It can be divided in two parts, 13 and 680576, that multiplied together give a palindrome (8847488).
The spelling of 13680576 in words is "thirteen million, six hundred eighty thousand, five hundred seventy-six".
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