Search a number
-
+
130104 = 233213139
BaseRepresentation
bin11111110000111000
320121110200
4133300320
513130404
62442200
71051212
oct376070
9217420
10130104
1189827
1263360
13472b0
14355b2
1528839
hex1fc38

130104 has 48 divisors (see below), whose sum is σ = 382200. Its totient is φ = 39744.

The previous prime is 130099. The next prime is 130121. The reversal of 130104 is 401031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 1005.

2130104 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 130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100).

130104 is an abundant number, since it is smaller than the sum of its proper divisors (252096).

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

130104 is a wasteful number, since it uses less digits than its factorization.

130104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130104 is about 360.6993207645. The cubic root of 130104 is about 50.6714753823.

Adding to 130104 its reverse (401031), we get a palindrome (531135).

The spelling of 130104 in words is "one hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 139 156 234 278 312 417 468 556 834 936 1112 1251 1668 1807 2502 3336 3614 5004 5421 7228 10008 10842 14456 16263 21684 32526 43368 65052 130104