| Base | Representation |
|---|---|
| bin | 110001101100… |
| … | …110101010000 |
| 3 | 220111221000000 |
| 4 | 301230311100 |
| 5 | 11313404223 |
| 6 | 1143130000 |
| 7 | 215512341 |
| oct | 61546520 |
| 9 | 26457000 |
| 10 | 13028688 |
| 11 | 7399712 |
| 12 | 4443900 |
| 13 | 29122aa |
| 14 | 1a320c8 |
| 15 | 1225543 |
| hex | c6cd50 |
13028688 has 70 divisors (see below), whose sum is σ = 37881194. Its totient is φ = 4339008.
The previous prime is 13028671. The next prime is 13028689. The reversal of 13028688 is 88682031.
It can be written as a sum of positive squares in only one way, i.e., 7884864 + 5143824 = 2808^2 + 2268^2 .
It is a super-2 number, since 2×130286882 = 339493422002688, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13028689) 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 13 ways as a sum of consecutive naturals, for example, 11106 + ... + 12222.
Almost surely, 213028688 is an apocalyptic number.
13028688 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 13028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940597).
13028688 is an abundant number, since it is smaller than the sum of its proper divisors (24852506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13028688 is an equidigital number, since it uses as much as digits as its factorization.
13028688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1143 (or 1122 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 13028688 is about 3609.5273928868. The cubic root of 13028688 is about 235.3063034669.
The spelling of 13028688 in words is "thirteen million, twenty-eight thousand, six hundred eighty-eight".
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