Search a number
-
+
130160200 = 23523172053
BaseRepresentation
bin1111100001000…
…01011001001000
3100001220211020011
413300201121020
5231310111300
620525441304
73140225542
oct760413110
9301824204
10130160200
1167521315
1237710234
1320c73691
1413402692
15b660eba
hex7c21648

130160200 has 48 divisors (see below), whose sum is σ = 303724980. Its totient is φ = 51874560.

The previous prime is 130160179. The next prime is 130160273. The reversal of 130160200 is 2061031.

It can be written as a sum of positive squares in 6 ways, for example, as 17757796 + 112402404 = 4214^2 + 10602^2 .

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 11 ways as a sum of consecutive naturals, for example, 62374 + ... + 64426.

Almost surely, 2130160200 is an apocalyptic number.

130160200 is a gapful number since it is divisible by the number (10) 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 130160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151862490).

130160200 is an abundant number, since it is smaller than the sum of its proper divisors (173564780).

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

130160200 is a wasteful number, since it uses less digits than its factorization.

130160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130160200 is about 11408.7773227459. Note that the first 3 decimals coincide. The cubic root of 130160200 is about 506.7877038472.

The spelling of 130160200 in words is "one hundred thirty million, one hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2053 2536 3170 4106 6340 7925 8212 10265 12680 15850 16424 20530 31700 41060 51325 63400 82120 102650 205300 410600 650801 1301602 2603204 3254005 5206408 6508010 13016020 16270025 26032040 32540050 65080100 130160200