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130543200 = 25325218131
BaseRepresentation
bin1111100011111…
…10111001100000
3100002122021121100
413301332321200
5231404340300
620541554400
73143412264
oct761767140
9302567540
10130543200
1167763047
1237875a00
1321078ac8
14134a20a4
15b6d9700
hex7c7ee60

130543200 has 108 divisors (see below), whose sum is σ = 460353348. Its totient is φ = 34809600.

The previous prime is 130543177. The next prime is 130543213. The reversal of 130543200 is 2345031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1866 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (4262531).

Almost surely, 2130543200 is an apocalyptic number.

130543200 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 130543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230176674).

130543200 is an abundant number, since it is smaller than the sum of its proper divisors (329810148).

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

130543200 is a wasteful number, since it uses less digits than its factorization.

130543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157 (or 18141 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130543200 is about 11425.5503149739. The cubic root of 130543200 is about 507.2842960465.

Adding to 130543200 its reverse (2345031), we get a palindrome (132888231).

The spelling of 130543200 in words is "one hundred thirty million, five hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 18131 36262 54393 72524 90655 108786 145048 163179 181310 217572 271965 290096 326358 362620 435144 453275 543930 580192 652716 725240 815895 870288 906550 1087860 1305432 1359825 1450480 1631790 1740576 1813100 2175720 2610864 2719650 2900960 3263580 3626200 4079475 4351440 5221728 5439300 6527160 7252400 8158950 8702880 10878600 13054320 14504800 16317900 21757200 26108640 32635800 43514400 65271600 130543200