Search a number
-
+
39131106 = 2372167797
BaseRepresentation
bin1001010101000…
…1011111100010
32201122001210020
42111101133202
540004143411
63514414310
7653415600
oct225213742
981561706
1039131106
11200a7863
1211131396
138151201
1452a8870
15367e606
hex25517e2

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".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 167 294 334 501 797 1002 1169 1594 2338 2391 3507 4782 5579 7014 8183 11158 16366 16737 24549 33474 39053 49098 78106 117159 133099 234318 266198 399297 798594 931693 1863386 2795079 5590158 6521851 13043702 19565553 39131106