| Base | Representation |
|---|---|
| bin | 110001101011… |
| … | …001101000100 |
| 3 | 220111120212001 |
| 4 | 301223031010 |
| 5 | 11313201040 |
| 6 | 1143035044 |
| 7 | 215454034 |
| oct | 61531504 |
| 9 | 26446761 |
| 10 | 13022020 |
| 11 | 7394700 |
| 12 | 443ba84 |
| 13 | 290c24b |
| 14 | 1a2d8c4 |
| 15 | 122359a |
| hex | c6b344 |
13022020 has 36 divisors (see below), whose sum is σ = 30063852. Its totient is φ = 4734400.
The previous prime is 13022003. The next prime is 13022027. The reversal of 13022020 is 2022031.
It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 8561476 = 2112^2 + 2926^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a plaindrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 13021988 and 13022006.
It is not an unprimeable number, because it can be changed into a prime (13022027) 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, 271 + ... + 5110.
It is an arithmetic number, because the mean of its divisors is an integer number (835107).
Almost surely, 213022020 is an apocalyptic number.
13022020 is a gapful number since it is divisible by the number (10) 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 13022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031926).
13022020 is an abundant number, since it is smaller than the sum of its proper divisors (17041832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13022020 is a wasteful number, since it uses less digits than its factorization.
13022020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5412 (or 5399 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 13022020 is about 3608.6036080456. The cubic root of 13022020 is about 235.2661538581.
Adding to 13022020 its reverse (2022031), we get a palindrome (15044051).
The spelling of 13022020 in words is "thirteen million, twenty-two thousand, twenty".
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