Base | Representation |
---|---|
bin | 110010001001… |
… | …011010001110 |
3 | 220201212120100 |
4 | 302021122032 |
5 | 11331130432 |
6 | 1145431530 |
7 | 216510531 |
oct | 62113216 |
9 | 26655510 |
10 | 13145742 |
11 | 7469655 |
12 | 449b5a6 |
13 | 295365c |
14 | 1a62a18 |
15 | 124a07c |
hex | c8968e |
13145742 has 48 divisors (see below), whose sum is σ = 30090528. Its totient is φ = 4139520.
The previous prime is 13145723. The next prime is 13145753. The reversal of 13145742 is 24754131.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 46642 + ... + 46922.
It is an arithmetic number, because the mean of its divisors is an integer number (626886).
Almost surely, 213145742 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13145742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045264).
13145742 is an abundant number, since it is smaller than the sum of its proper divisors (16944786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13145742 is a wasteful number, since it uses less digits than its factorization.
13145742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 425 (or 422 counting only the distinct ones).
The product of its digits is 3360, while the sum is 27.
The square root of 13145742 is about 3625.7057244073. The cubic root of 13145742 is about 236.0088931821.
Adding to 13145742 its reverse (24754131), we get a palindrome (37899873).
It can be divided in two parts, 1314 and 5742, that added together give a square (7056 = 842).
The spelling of 13145742 in words is "thirteen million, one hundred forty-five thousand, seven hundred forty-two".
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