| Base | Representation |
|---|---|
| bin | 110100101011… |
| … | …111110100000 |
| 3 | 221222200222100 |
| 4 | 310223332200 |
| 5 | 12013432431 |
| 6 | 1212010400 |
| 7 | 225253050 |
| oct | 64537640 |
| 9 | 27880870 |
| 10 | 13811616 |
| 11 | 7883965 |
| 12 | 4760a00 |
| 13 | 2b27770 |
| 14 | 1b97560 |
| 15 | 132c4e6 |
| hex | d2bfa0 |
13811616 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 3317760.
The previous prime is 13811593. The next prime is 13811617. The reversal of 13811616 is 61611831.
13811616 is a `hidden beast` number, since 1 + 38 + 11 + 616 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 13811616.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13811617) 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 47 ways as a sum of consecutive naturals, for example, 445521 + ... + 445551.
It is an arithmetic number, because the mean of its divisors is an integer number (183456).
Almost surely, 213811616 is an apocalyptic number.
13811616 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 13811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).
13811616 is an abundant number, since it is smaller than the sum of its proper divisors (39023712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13811616 is a wasteful number, since it uses less digits than its factorization.
13811616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84 (or 73 counting only the distinct ones).
The product of its digits is 864, while the sum is 27.
The square root of 13811616 is about 3716.3982563767. The cubic root of 13811616 is about 239.9283119222.
The spelling of 13811616 in words is "thirteen million, eight hundred eleven thousand, six hundred sixteen".
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