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131384 = 23111493
BaseRepresentation
bin100000000100111000
320200020002
4200010320
513201014
62452132
71055021
oct400470
9220202
10131384
118a790
1264048
1347a56
1435c48
1528dde
hex20138

131384 has 16 divisors (see below), whose sum is σ = 268920. Its totient is φ = 59680.

The previous prime is 131381. The next prime is 131413. The reversal of 131384 is 483131.

131384 = 832 + 842 + ... + 982.

It is a happy number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659 + ... + 834.

2131384 is an apocalyptic number.

It is an amenable number.

131384 is an abundant number, since it is smaller than the sum of its proper divisors (137536).

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

131384 is a wasteful number, since it uses less digits than its factorization.

131384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 131384 is about 362.4693090456. The cubic root of 131384 is about 50.8371068297.

It can be divided in two parts, 131 and 384, that added together give a palindrome (515).

The spelling of 131384 in words is "one hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 1493 2986 5972 11944 16423 32846 65692 131384