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130241200 = 24521917137
BaseRepresentation
bin1111100001101…
…01001010110000
3100002001221100011
413300311022300
5231320204300
620531304304
73141013645
oct760651260
9302057304
10130241200
1167577161
123774b094
1320ca14cb
1413423dcc
15b679eba
hex7c352b0

130241200 has 60 divisors (see below), whose sum is σ = 329392360. Its totient is φ = 49351680.

The previous prime is 130241197. The next prime is 130241239. The reversal of 130241200 is 2142031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 16168.

Almost surely, 2130241200 is an apocalyptic number.

130241200 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 130241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164696180).

130241200 is an abundant number, since it is smaller than the sum of its proper divisors (199151160).

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

130241200 is a wasteful number, since it uses less digits than its factorization.

130241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17174 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130241200 is about 11412.3266690014. The cubic root of 130241200 is about 506.8928084073.

Adding to 130241200 its reverse (2142031), we get a palindrome (132383231).

The spelling of 130241200 in words is "one hundred thirty million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 17137 34274 68548 85685 137096 171370 274192 325603 342740 428425 651206 685480 856850 1302412 1370960 1628015 1713700 2604824 3256030 3427400 5209648 6512060 6854800 8140075 13024120 16280150 26048240 32560300 65120600 130241200