Search a number
-
+
130048 = 210127
BaseRepresentation
bin11111110000000000
320121101121
4133300000
513130143
62442024
71051102
oct376000
9217347
10130048
1189786
1263314
1347269
1435572
15287ed
hex1fc00

130048 has 22 divisors (see below), whose sum is σ = 262016. Its totient is φ = 64512.

The previous prime is 130043. The next prime is 130051. The reversal of 130048 is 840031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130043) by changing a digit.

130048 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 961 + ... + 1087.

2130048 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 130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131008).

130048 is an abundant number, since it is smaller than the sum of its proper divisors (131968).

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

130048 is an equidigital number, since it uses as much as digits as its factorization.

130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 130048 is about 360.6216854267. The cubic root of 130048 is about 50.6642042509.

130048 divided by its sum of digits (16) gives a triangular number (8128 = T127).

Adding to 130048 its reverse (840031), we get a palindrome (970079).

The spelling of 130048 in words is "one hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 4064 8128 16256 32512 65024 130048