Base | Representation |
---|---|
bin | 101111110010… |
… | …000111000100 |
3 | 212120101110200 |
4 | 233302013010 |
5 | 11201313040 |
6 | 1124250500 |
7 | 211320003 |
oct | 57620704 |
9 | 25511420 |
10 | 12526020 |
11 | 7085a91 |
12 | 4240a30 |
13 | 2797560 |
14 | 1940c3a |
15 | 1176630 |
hex | bf21c4 |
12526020 has 144 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 2995200.
The previous prime is 12526009. The next prime is 12526021. The reversal of 12526020 is 2062521.
12526020 is a `hidden beast` number, since 12 + 52 + 602 + 0 = 666.
12526020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 12278016 = 498^2 + 3504^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12525984 and 12526002.
It is not an unprimeable number, because it can be changed into a prime (12526021) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123970 + ... + 124070.
It is an arithmetic number, because the mean of its divisors is an integer number (292383).
Almost surely, 212526020 is an apocalyptic number.
12526020 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 12526020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).
12526020 is an abundant number, since it is smaller than the sum of its proper divisors (29577132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12526020 is a wasteful number, since it uses less digits than its factorization.
12526020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 177 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 12526020 is about 3539.2117766531. The cubic root of 12526020 is about 232.2403622634.
Adding to 12526020 its reverse (2062521), we get a palindrome (14588541).
The spelling of 12526020 in words is "twelve million, five hundred twenty-six thousand, twenty".
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