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131056 = 248191
BaseRepresentation
bin11111111111110000
320122202221
4133333300
513143211
62450424
71054042
oct377760
9218687
10131056
118a512
1263a14
1347863
1435a92
1528c71
hex1fff0

131056 has 10 divisors (see below), whose sum is σ = 253952. Its totient is φ = 65520.

The previous prime is 131041. The next prime is 131059. The reversal of 131056 is 650131.

Adding to 131056 its sum of digits (16), we get a 17-th power (131072 = 217).

Adding to 131056 its reverse (650131), we get a palindrome (781187).

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 8191 = 131056 / (1 + 3 + 1 + 0 + 5 + 6).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131059) by changing a digit.

131056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4080 + ... + 4111.

2131056 is an apocalyptic number.

131056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131056 is a deficient number, since it is larger than the sum of its proper divisors (122896).

131056 is an equidigital number, since it uses as much as digits as its factorization.

131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131056 is about 362.0165742062. The cubic root of 131056 is about 50.7947666504.

The spelling of 131056 in words is "one hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 8191 16382 32764 65528 131056