Search a number
-
+
130176 = 2732113
BaseRepresentation
bin11111110010000000
320121120100
4133302000
513131201
62442400
71051344
oct376200
9217510
10130176
1189892
1263400
1347337
1435624
1528886
hex1fc80

130176 has 48 divisors (see below), whose sum is σ = 377910. Its totient is φ = 43008.

The previous prime is 130171. The next prime is 130183. The reversal of 130176 is 671031.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 576 = 360^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1096 + ... + 1208.

2130176 is an apocalyptic number.

130176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188955).

130176 is an abundant number, since it is smaller than the sum of its proper divisors (247734).

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

130176 is a wasteful number, since it uses less digits than its factorization.

130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130176 is about 360.7991130809. The cubic root of 130176 is about 50.6808209147.

The spelling of 130176 in words is "one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 21696 32544 43392 65088 130176