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130288 = 2417479
BaseRepresentation
bin11111110011110000
320121201111
4133303300
513132123
62443104
71051564
oct376360
9217644
10130288
1189984
1263494
13473c2
14356a4
152890d
hex1fcf0

130288 has 20 divisors (see below), whose sum is σ = 267840. Its totient is φ = 61184.

The previous prime is 130279. The next prime is 130303. The reversal of 130288 is 882031.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 33 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2130288 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 130288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

130288 is an abundant number, since it is smaller than the sum of its proper divisors (137552).

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

130288 is a wasteful number, since it uses less digits than its factorization.

130288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 130288 is about 360.9542907350. The cubic root of 130288 is about 50.6953515625.

The spelling of 130288 in words is "one hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 479 958 1916 3832 7664 8143 16286 32572 65144 130288