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131540 = 2256577
BaseRepresentation
bin100000000111010100
320200102212
4200013110
513202130
62452552
71055333
oct400724
9220385
10131540
118a912
1264158
1347b46
1435d1a
1528e95
hex201d4

131540 has 12 divisors (see below), whose sum is σ = 276276. Its totient is φ = 52608.

The previous prime is 131519. The next prime is 131543. The reversal of 131540 is 45131.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 31684 = 316^2 + 178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131543) by changing a digit.

131540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3269 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (23023).

2131540 is an apocalyptic number.

131540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131540 is an abundant number, since it is smaller than the sum of its proper divisors (144736).

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

131540 is a wasteful number, since it uses less digits than its factorization.

131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131540 is about 362.6844358392. The cubic root of 131540 is about 50.8572195068.

Adding to 131540 its reverse (45131), we get a palindrome (176671).

The spelling of 131540 in words is "one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6577 13154 26308 32885 65770 131540