Search a number
-
+
10131168 = 253105533
BaseRepresentation
bin100110101001…
…011011100000
3201001201100110
4212221123200
510043144133
61001051320
7152053635
oct46513340
921051313
1010131168
11579a773
123486b40
132139498
1414ba18c
15d51c63
hex9a96e0

10131168 has 24 divisors (see below), whose sum is σ = 26594568. Its totient is φ = 3377024.

The previous prime is 10131157. The next prime is 10131169. The reversal of 10131168 is 86113101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131169) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 52671 + ... + 52862.

It is an arithmetic number, because the mean of its divisors is an integer number (1108107).

Almost surely, 210131168 is an apocalyptic number.

It is an amenable number.

10131168 is an abundant number, since it is smaller than the sum of its proper divisors (16463400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131168 is a wasteful number, since it uses less digits than its factorization.

10131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105546 (or 105538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10131168 is about 3182.9495754724. The cubic root of 10131168 is about 216.3813564822.

Adding to 10131168 its reverse (86113101), we get a palindrome (96244269).

The spelling of 10131168 in words is "ten million, one hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105533 211066 316599 422132 633198 844264 1266396 1688528 2532792 3377056 5065584 10131168