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131040729 = 32234431429
BaseRepresentation
bin1111100111110…
…00010111011001
3100010120120002100
413303320113121
5232021300404
621000354013
73150553641
oct763702731
9303516070
10131040729
1167a72926
1237a75909
13211c13c1
1413591521
15b786d39
hex7cf85d9

131040729 has 24 divisors (see below), whose sum is σ = 198095040. Its totient is φ = 83315232.

The previous prime is 131040727. The next prime is 131040757. The reversal of 131040729 is 927040131.

It is not a de Polignac number, because 131040729 - 21 = 131040727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131040727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90987 + ... + 92415.

It is an arithmetic number, because the mean of its divisors is an integer number (8253960).

Almost surely, 2131040729 is an apocalyptic number.

It is an amenable number.

131040729 is a deficient number, since it is larger than the sum of its proper divisors (67054311).

131040729 is a wasteful number, since it uses less digits than its factorization.

131040729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131040729 is about 11447.3022586110. The cubic root of 131040729 is about 507.9279365920.

It can be divided in two parts, 131040 and 729, that added together give a square (131769 = 3632).

The spelling of 131040729 in words is "one hundred thirty-one million, forty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 23 69 207 443 1329 1429 3987 4287 10189 12861 30567 32867 91701 98601 295803 633047 1899141 5697423 14560081 43680243 131040729