| Base | Representation |
|---|---|
| bin | 110001101011… |
| … | …100110100000 |
| 3 | 220111200002100 |
| 4 | 301223212200 |
| 5 | 11313224043 |
| 6 | 1143050400 |
| 7 | 215461551 |
| oct | 61534640 |
| 9 | 26450070 |
| 10 | 13023648 |
| 11 | 7395950 |
| 12 | 4440a00 |
| 13 | 290cc01 |
| 14 | 1a30328 |
| 15 | 1223cd3 |
| hex | c6b9a0 |
13023648 has 72 divisors (see below), whose sum is σ = 40412736. Its totient is φ = 3945600.
The previous prime is 13023641. The next prime is 13023677. The reversal of 13023648 is 84632031.
It is a happy number.
13023648 is a `hidden beast` number, since 13 + 0 + 2 + 3 + 648 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (13023641) 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 11 ways as a sum of consecutive naturals, for example, 1113 + ... + 5223.
It is an arithmetic number, because the mean of its divisors is an integer number (561288).
Almost surely, 213023648 is an apocalyptic number.
13023648 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 13023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206368).
13023648 is an abundant number, since it is smaller than the sum of its proper divisors (27389088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13023648 is a wasteful number, since it uses less digits than its factorization.
13023648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4138 (or 4127 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 13023648 is about 3608.8291730144. The cubic root of 13023648 is about 235.2759576965.
Adding to 13023648 its reverse (84632031), we get a palindrome (97655679).
It can be divided in two parts, 1302 and 3648, that added together give a triangular number (4950 = T99).
The spelling of 13023648 in words is "thirteen million, twenty-three thousand, six hundred forty-eight".
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