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130784 = 256167
BaseRepresentation
bin11111111011100000
320122101212
4133323200
513141114
62445252
71053203
oct377340
9218355
10130784
118a295
1263828
13476b4
143593a
1528b3e
hex1fee0

130784 has 24 divisors (see below), whose sum is σ = 265608. Its totient is φ = 63360.

The previous prime is 130783. The next prime is 130787. The reversal of 130784 is 487031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1919 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2130784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804).

130784 is an abundant number, since it is smaller than the sum of its proper divisors (134824).

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

130784 is an equidigital number, since it uses as much as digits as its factorization.

130784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 130784 is about 361.6407056735. The cubic root of 130784 is about 50.7596016680.

The spelling of 130784 in words is "one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 67 122 134 244 268 488 536 976 1072 1952 2144 4087 8174 16348 32696 65392 130784