Search a number
-
+
131969529 = 32411013541
BaseRepresentation
bin1111101110110…
…11000111111001
3100012022202011100
413313123013321
5232241011104
621032322013
73161502546
oct767330771
9305282140
10131969529
116854772a
1238243309
13214580a3
1413753bcd
15b8bc139
hex7ddb1f9

131969529 has 24 divisors (see below), whose sum is σ = 197261064. Its totient is φ = 84960000.

The previous prime is 131969479. The next prime is 131969533. The reversal of 131969529 is 925969131.

It is a happy number.

131969529 is a `hidden beast` number, since 1 + 31 + 96 + 9 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16621929 + 115347600 = 4077^2 + 10740^2 .

It is not a de Polignac number, because 131969529 - 212 = 131965433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131969329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35499 + ... + 39039.

It is an arithmetic number, because the mean of its divisors is an integer number (8219211).

Almost surely, 2131969529 is an apocalyptic number.

It is an amenable number.

131969529 is a deficient number, since it is larger than the sum of its proper divisors (65291535).

131969529 is a wasteful number, since it uses less digits than its factorization.

131969529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3686 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 131969529 is about 11487.7991364752. The cubic root of 131969529 is about 509.1251552981.

The spelling of 131969529 in words is "one hundred thirty-one million, nine hundred sixty-nine thousand, five hundred twenty-nine".

Divisors: 1 3 9 41 101 123 303 369 909 3541 4141 10623 12423 31869 37269 145181 357641 435543 1072923 1306629 3218769 14663281 43989843 131969529