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130384 = 2429281
BaseRepresentation
bin11111110101010000
320121212001
4133311100
513133014
62443344
71052062
oct376520
9217761
10130384
1189a61
1263554
1347467
1435732
1528974
hex1fd50

130384 has 20 divisors (see below), whose sum is σ = 262260. Its totient is φ = 62720.

The previous prime is 130379. The next prime is 130399. The reversal of 130384 is 483031.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 51984 = 280^2 + 228^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (13113).

2130384 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 130384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131130).

130384 is an abundant number, since it is smaller than the sum of its proper divisors (131876).

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

130384 is a wasteful number, since it uses less digits than its factorization.

130384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130384 is about 361.0872470747. The cubic root of 130384 is about 50.7077997770.

The spelling of 130384 in words is "one hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 281 464 562 1124 2248 4496 8149 16298 32596 65192 130384