| Base | Representation |
|---|---|
| bin | 110100010111… |
| … | …010011100000 |
| 3 | 221211101211100 |
| 4 | 310113103200 |
| 5 | 12003230234 |
| 6 | 1210114400 |
| 7 | 224451150 |
| oct | 64272340 |
| 9 | 27741740 |
| 10 | 13726944 |
| 11 | 7826290 |
| 12 | 471ba00 |
| 13 | 2ac806a |
| 14 | 1b74760 |
| 15 | 1312399 |
| hex | d174e0 |
13726944 has 144 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3559680.
The previous prime is 13726943. The next prime is 13726969. The reversal of 13726944 is 44962731.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 13726899 and 13726908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13726943) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21867 + ... + 22485.
It is an arithmetic number, because the mean of its divisors is an integer number (338520).
Almost surely, 213726944 is an apocalyptic number.
13726944 is a gapful number since it is divisible by the number (14) 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 13726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).
13726944 is an abundant number, since it is smaller than the sum of its proper divisors (35019936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13726944 is a wasteful number, since it uses less digits than its factorization.
13726944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 653 (or 642 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 13726944 is about 3704.9890688098. The cubic root of 13726944 is about 239.4370137262.
The spelling of 13726944 in words is "thirteen million, seven hundred twenty-six thousand, nine hundred forty-four".
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