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130204340 = 225719311579
BaseRepresentation
bin1111100001011…
…00001010110100
3100002000001202222
413300230022310
5231313014330
620530421512
73140501330
oct760541264
9302001688
10130204340
11675514a2
1237731898
1320c8a7b6
14134147c0
15b66e0e5
hex7c2c2b4

130204340 has 96 divisors (see below), whose sum is σ = 339763200. Its totient is φ = 40901760.

The previous prime is 130204289. The next prime is 130204351. The reversal of 130204340 is 43402031.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 81671 + ... + 83249.

It is an arithmetic number, because the mean of its divisors is an integer number (3539200).

Almost surely, 2130204340 is an apocalyptic number.

130204340 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 130204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169881600).

130204340 is an abundant number, since it is smaller than the sum of its proper divisors (209558860).

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

130204340 is a wasteful number, since it uses less digits than its factorization.

130204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130204340 is about 11410.7116342496. The cubic root of 130204340 is about 506.8449847494.

Adding to 130204340 its reverse (43402031), we get a palindrome (173606371).

The spelling of 130204340 in words is "one hundred thirty million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 1085 1178 1330 1579 2170 2356 2660 2945 3158 4123 4340 5890 6316 7895 8246 11053 11780 15790 16492 20615 22106 30001 31580 41230 44212 48949 55265 60002 82460 97898 110530 120004 150005 195796 210007 221060 244745 300010 342643 420014 489490 600020 685286 840028 930031 978980 1050035 1370572 1713215 1860062 2100070 3426430 3720124 4200140 4650155 6510217 6852860 9300310 13020434 18600620 26040868 32551085 65102170 130204340