Base | Representation |
---|---|
bin | 110010100000… |
… | …110011000000 |
3 | 220220201222021 |
4 | 302200303000 |
5 | 11342212121 |
6 | 1151451224 |
7 | 220360030 |
oct | 62406300 |
9 | 26821867 |
10 | 13241536 |
11 | 7524620 |
12 | 4526b14 |
13 | 2988139 |
14 | 1a898c0 |
15 | 1268641 |
hex | ca0cc0 |
13241536 has 56 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 5157120.
The previous prime is 13241533. The next prime is 13241539. The reversal of 13241536 is 63514231.
It is an interprime number because it is at equal distance from previous prime (13241533) and next prime (13241539).
It is a tau number, because it is divible by the number of its divisors (56).
It is a self number, because there is not a number n which added to its sum of digits gives 13241536.
It is not an unprimeable number, because it can be changed into a prime (13241533) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3585 + ... + 6271.
It is an arithmetic number, because the mean of its divisors is an integer number (585216).
Almost surely, 213241536 is an apocalyptic number.
13241536 is a gapful number since it is divisible by the number (16) 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 13241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).
13241536 is an abundant number, since it is smaller than the sum of its proper divisors (19530560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13241536 is a wasteful number, since it uses less digits than its factorization.
13241536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2717 (or 2707 counting only the distinct ones).
The product of its digits is 2160, while the sum is 25.
The square root of 13241536 is about 3638.8921390995. The cubic root of 13241536 is about 236.5807777561.
Adding to 13241536 its reverse (63514231), we get a palindrome (76755767).
The spelling of 13241536 in words is "thirteen million, two hundred forty-one thousand, five hundred thirty-six".
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