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131536 = 248221
BaseRepresentation
bin100000000111010000
320200102201
4200013100
513202121
62452544
71055326
oct400720
9220381
10131536
118a909
1264154
1347b42
1435d16
1528e91
hex201d0

131536 has 10 divisors (see below), whose sum is σ = 254882. Its totient is φ = 65760.

The previous prime is 131519. The next prime is 131543. The reversal of 131536 is 635131.

Adding to 131536 its reverse (635131), we get a palindrome (766667).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 1936 = 360^2 + 44^2 .

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 4095 + ... + 4126.

2131536 is an apocalyptic number.

131536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131536 is a deficient number, since it is larger than the sum of its proper divisors (123346).

131536 is an equidigital number, since it uses as much as digits as its factorization.

131536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8223 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 131536 is about 362.6789213616. The cubic root of 131536 is about 50.8567039958.

The spelling of 131536 in words is "one hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 8221 16442 32884 65768 131536