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130584 = 2335441
BaseRepresentation
bin11111111000011000
320122010110
4133320120
513134314
62444320
71052466
oct377030
9218113
10130584
118a123
12636a0
134758c
1435836
1528a59
hex1fe18

130584 has 16 divisors (see below), whose sum is σ = 326520. Its totient is φ = 43520.

The previous prime is 130579. The next prime is 130589. The reversal of 130584 is 485031.

It is an interprime number because it is at equal distance from previous prime (130579) and next prime (130589).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130589) by changing a digit.

130584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2697 + ... + 2744.

2130584 is an apocalyptic number.

It is an amenable number.

130584 is an abundant number, since it is smaller than the sum of its proper divisors (195936).

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

130584 is a wasteful number, since it uses less digits than its factorization.

130584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130584 is about 361.3640823325. The cubic root of 130584 is about 50.7337139456.

The spelling of 130584 in words is "one hundred thirty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 5441 10882 16323 21764 32646 43528 65292 130584