Base | Representation |
---|---|
bin | 101111101110… |
… | …111100000000 |
3 | 212112201122100 |
4 | 233232330000 |
5 | 11200404044 |
6 | 1124110400 |
7 | 211234056 |
oct | 57567400 |
9 | 25481570 |
10 | 12513024 |
11 | 7077247 |
12 | 4235400 |
13 | 2791674 |
14 | 193a1d6 |
15 | 1172869 |
hex | beef00 |
12513024 has 54 divisors (see below), whose sum is σ = 36084776. Its totient is φ = 4170240.
The previous prime is 12513023. The next prime is 12513029. The reversal of 12513024 is 42031521.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
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 = 12512988 and 12513006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12513023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412 + ... + 5019.
Almost surely, 212513024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042388).
12513024 is an abundant number, since it is smaller than the sum of its proper divisors (23571752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12513024 is an equidigital number, since it uses as much as digits as its factorization.
12513024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5453 (or 5436 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 12513024 is about 3537.3752981554. The cubic root of 12513024 is about 232.1600164403.
Adding to 12513024 its reverse (42031521), we get a palindrome (54544545).
The spelling of 12513024 in words is "twelve million, five hundred thirteen thousand, twenty-four".
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