Base | Representation |
---|---|
bin | 101101111110… |
… | …110000100000 |
3 | 211200101100021 |
4 | 231332300200 |
5 | 11041203121 |
6 | 1110203224 |
7 | 204311335 |
oct | 55766040 |
9 | 24611307 |
10 | 12053536 |
11 | 6893000 |
12 | 4053514 |
13 | 2660491 |
14 | 185a98c |
15 | 10d1641 |
hex | b7ec20 |
12053536 has 48 divisors (see below), whose sum is σ = 26193888. Its totient is φ = 5459520.
The previous prime is 12053519. The next prime is 12053551. The reversal of 12053536 is 63535021.
It is a happy number.
12053536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 12053536.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42451 + ... + 42733.
It is an arithmetic number, because the mean of its divisors is an integer number (545706).
Almost surely, 212053536 is an apocalyptic number.
12053536 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 12053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096944).
12053536 is an abundant number, since it is smaller than the sum of its proper divisors (14140352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12053536 is an equidigital number, since it uses as much as digits as its factorization.
12053536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 326 (or 296 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 25.
The square root of 12053536 is about 3471.8202718459. The cubic root of 12053536 is about 229.2828069087.
Adding to 12053536 its reverse (63535021), we get a palindrome (75588557).
It can be divided in two parts, 120 and 53536, that multiplied together give a triangular number (6424320 = T3584).
The spelling of 12053536 in words is "twelve million, fifty-three thousand, five hundred thirty-six".
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