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131769 = 32114
BaseRepresentation
bin100000001010111001
320200202100
4200022321
513204034
62454013
71056111
oct401271
9220670
10131769
1190000
1264309
1347c91
1436041
1529099
hex202b9

131769 has 15 divisors (see below), whose sum is σ = 209365. Its totient is φ = 79860.

The previous prime is 131759. The next prime is 131771. The reversal of 131769 is 967131.

It can be divided in two parts, 131 and 769, that added together give a square (900 = 302).

131769 = T362 + T363.

The square root of 131769 is 363.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 131769 - 27 = 131641 is a prime.

It is a super-2 number, since 2×1317692 = 34726138722, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1134) is a multiple of the sum of its prime divisors (14).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (131749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11974 + ... + 11984.

131769 is a Friedman number, since it can be written as ((3^7-9)/6)^(1+1), using all its digits and the basic arithmetic operations.

2131769 is an apocalyptic number.

131769 is the 363-rd square number.

131769 is the 182-nd centered octagonal number.

It is an amenable number.

131769 is a deficient number, since it is larger than the sum of its proper divisors (77596).

131769 is an frugal number, since it uses more digits than its factorization.

131769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The cubic root of 131769 is about 50.8867151010.

The spelling of 131769 in words is "one hundred thirty-one thousand, seven hundred sixty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 14641 43923 131769