Search a number
-
+
130205000 = 235426041
BaseRepresentation
bin1111100001011…
…00010101001000
3100002000002200102
413300230111020
5231313030000
620530424532
73140503262
oct760542510
9302002612
10130205000
1167551a42
1237732148
1320c8aba3
1413414b32
15b66e3d5
hex7c2c548

130205000 has 40 divisors (see below), whose sum is σ = 305082030. Its totient is φ = 52080000.

The previous prime is 130204981. The next prime is 130205011. The reversal of 130205000 is 502031.

It can be written as a sum of positive squares in 5 ways, for example, as 17123044 + 113081956 = 4138^2 + 10634^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8021 + ... + 18020.

Almost surely, 2130205000 is an apocalyptic number.

130205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130205000 is an abundant number, since it is smaller than the sum of its proper divisors (174877030).

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

130205000 is an equidigital number, since it uses as much as digits as its factorization.

130205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26067 (or 26048 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 130205000 is about 11410.7405544075. The cubic root of 130205000 is about 506.8458411395.

Adding to 130205000 its reverse (502031), we get a palindrome (130707031).

The spelling of 130205000 in words is "one hundred thirty million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 26041 52082 104164 130205 208328 260410 520820 651025 1041640 1302050 2604100 3255125 5208200 6510250 13020500 16275625 26041000 32551250 65102500 130205000