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131636845 = 5192233313
BaseRepresentation
bin1111101100010…
…01111001101101
3100011200211210201
413312021321231
5232144334340
621021233501
73155615614
oct766117155
9304624721
10131636845
116833a78a
1238102891
132136c832
14136a887b
15b85379a
hex7d89e6d

131636845 has 24 divisors (see below), whose sum is σ = 167966136. Its totient is φ = 99021312.

The previous prime is 131636837. The next prime is 131636849. The reversal of 131636845 is 548636131.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 126945289 = 2166^2 + 11267^2 .

It is not a de Polignac number, because 131636845 - 23 = 131636837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131636849) 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, 420409 + ... + 420721.

It is an arithmetic number, because the mean of its divisors is an integer number (6998589).

Almost surely, 2131636845 is an apocalyptic number.

It is an amenable number.

131636845 is a deficient number, since it is larger than the sum of its proper divisors (36329291).

131636845 is a wasteful number, since it uses less digits than its factorization.

131636845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 131636845 is about 11473.3101152196. The cubic root of 131636845 is about 508.6969748357.

The spelling of 131636845 in words is "one hundred thirty-one million, six hundred thirty-six thousand, eight hundred forty-five".

Divisors: 1 5 19 95 233 313 361 1165 1565 1805 4427 5947 22135 29735 72929 84113 112993 364645 420565 564965 1385651 6928255 26327369 131636845