| Base | Representation |
|---|---|
| bin | 110010101011… |
| … | …010110010000 |
| 3 | 220222221020212 |
| 4 | 302223112100 |
| 5 | 11400103002 |
| 6 | 1152423252 |
| 7 | 220630025 |
| oct | 62532620 |
| 9 | 26887225 |
| 10 | 13284752 |
| 11 | 7554038 |
| 12 | 4547b28 |
| 13 | 29a1a00 |
| 14 | 1a9b54c |
| 15 | 1276352 |
| hex | cab590 |
13284752 has 60 divisors (see below), whose sum is σ = 29613060. Its totient is φ = 5770752.
The previous prime is 13284751. The next prime is 13284767. The reversal of 13284752 is 25748231.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 1478656 + 11806096 = 1216^2 + 3436^2 .
Its product of digits (13440) is a multiple of the sum of its prime divisors (32).
It is not an unprimeable number, because it can be changed into a prime (13284751) 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, 781448 + ... + 781464.
It is an arithmetic number, because the mean of its divisors is an integer number (493551).
Almost surely, 213284752 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13284752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806530).
13284752 is an abundant number, since it is smaller than the sum of its proper divisors (16328308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13284752 is an equidigital number, since it uses as much as digits as its factorization.
13284752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 32 counting only the distinct ones).
The product of its digits is 13440, while the sum is 32.
The square root of 13284752 is about 3644.8253730460. The cubic root of 13284752 is about 236.8378721080.
It can be divided in two parts, 13 and 284752, that multiplied together give a square (3701776 = 19242).
The spelling of 13284752 in words is "thirteen million, two hundred eighty-four thousand, seven hundred fifty-two".
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