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131496 = 2335479
BaseRepresentation
bin100000000110101000
320200101020
4200012220
513201441
62452440
71055241
oct400650
9220336
10131496
118a882
1264120
1347b11
1435cc8
1528e66
hex201a8

131496 has 16 divisors (see below), whose sum is σ = 328800. Its totient is φ = 43824.

The previous prime is 131489. The next prime is 131497. The reversal of 131496 is 694131.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5479 = 131496 / (1 + 3 + 1 + 4 + 9 + 6).

It is not an unprimeable number, because it can be changed into a prime (131497) by changing a digit.

131496 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2716 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (20550).

2131496 is an apocalyptic number.

It is an amenable number.

131496 is an abundant number, since it is smaller than the sum of its proper divisors (197304).

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

131496 is a wasteful number, since it uses less digits than its factorization.

131496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5484 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 131496 is about 362.6237719731. The cubic root of 131496 is about 50.8515483112.

The spelling of 131496 in words is "one hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 5479 10958 16437 21916 32874 43832 65748 131496