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131380 = 2256569
BaseRepresentation
bin100000000100110100
320200012221
4200010310
513201010
62452124
71055014
oct400464
9220187
10131380
118a787
1264044
1347a52
1435c44
1528dda
hex20134

131380 has 12 divisors (see below), whose sum is σ = 275940. Its totient is φ = 52544.

The previous prime is 131371. The next prime is 131381. The reversal of 131380 is 83131.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 44944 = 294^2 + 212^2 .

It is an Ulam number.

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, 3265 + ... + 3304.

It is an arithmetic number, because the mean of its divisors is an integer number (22995).

2131380 is an apocalyptic number.

131380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131380 is an abundant number, since it is smaller than the sum of its proper divisors (144560).

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

131380 is a wasteful number, since it uses less digits than its factorization.

131380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131380 is about 362.4637912951. The cubic root of 131380 is about 50.8365909107.

The spelling of 131380 in words is "one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 6569 13138 26276 32845 65690 131380