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131584 = 29257
BaseRepresentation
bin100000001000000000
320200111111
4200020000
513202314
62453104
71055425
oct401000
9220444
10131584
118a952
1264194
1347b7b
1435d4c
1528ec4
hex20200

131584 has 20 divisors (see below), whose sum is σ = 263934. Its totient is φ = 65536.

The previous prime is 131581. The next prime is 131591. The reversal of 131584 is 485131.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 57600 = 272^2 + 240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 131584 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384 + ... + 640.

131584 is a Friedman number, since it can be written as 514*(3-1)^8, using all its digits and the basic arithmetic operations.

2131584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131967).

131584 is an abundant number, since it is smaller than the sum of its proper divisors (132350).

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

131584 is an frugal number, since it uses more digits than its factorization.

131584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 131584 is about 362.7450895601. The cubic root of 131584 is about 50.8628894379.

The spelling of 131584 in words is "one hundred thirty-one thousand, five hundred eighty-four".