Base | Representation |
---|---|
bin | 1001010101000… |
… | …1011111100010 |
3 | 2201122001210020 |
4 | 2111101133202 |
5 | 40004143411 |
6 | 3514414310 |
7 | 653415600 |
oct | 225213742 |
9 | 81561706 |
10 | 39131106 |
11 | 200a7863 |
12 | 11131396 |
13 | 8151201 |
14 | 52a8870 |
15 | 367e606 |
hex | 25517e2 |
39131106 has 48 divisors (see below), whose sum is σ = 91699776. Its totient is φ = 11099424.
The previous prime is 39131069. The next prime is 39131107. The reversal of 39131106 is 60113193.
39131106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (39131107) 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 23 ways as a sum of consecutive naturals, for example, 48700 + ... + 49496.
It is an arithmetic number, because the mean of its divisors is an integer number (1910412).
Almost surely, 239131106 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 39131106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849888).
39131106 is an abundant number, since it is smaller than the sum of its proper divisors (52568670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39131106 is a wasteful number, since it uses less digits than its factorization.
39131106 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 983 (or 976 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 24.
The square root of 39131106 is about 6255.4860722409. The cubic root of 39131106 is about 339.5007262535.
Adding to 39131106 its reverse (60113193), we get a palindrome (99244299).
The spelling of 39131106 in words is "thirty-nine million, one hundred thirty-one thousand, one hundred six".
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