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5130304410 = 2357211228843
BaseRepresentation
bin1001100011100101…
…00011101110011010
3111020112120110121110
410301302203232122
541001324220120
62205024121150
7241063603500
oct46162435632
914215513543
105130304410
1121a2a17700
12bb21661b6
13639b52aaa
14369500670
152005e52e0
hex131ca3b9a

5130304410 has 144 divisors (see below), whose sum is σ = 15743978208. Its totient is φ = 1066000320.

The previous prime is 5130304397. The next prime is 5130304463. The reversal of 5130304410 is 144030315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163449 + ... + 192291.

It is an arithmetic number, because the mean of its divisors is an integer number (109333182).

Almost surely, 25130304410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130304410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871989104).

5130304410 is an abundant number, since it is smaller than the sum of its proper divisors (10613673798).

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

5130304410 is a wasteful number, since it uses less digits than its factorization.

5130304410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28889 (or 28871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5130304410 is about 71626.1433416598. The cubic root of 5130304410 is about 1724.7032364933.

Adding to 5130304410 its reverse (144030315), we get a palindrome (5274334725).

The spelling of 5130304410 in words is "five billion, one hundred thirty million, three hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 210 231 242 245 294 330 363 385 462 490 539 605 726 735 770 847 1078 1155 1210 1470 1617 1694 1815 2310 2541 2695 3234 3630 4235 5082 5390 5929 8085 8470 11858 12705 16170 17787 25410 28843 29645 35574 57686 59290 86529 88935 144215 173058 177870 201901 288430 317273 403802 432645 605703 634546 865290 951819 1009505 1211406 1413307 1586365 1903638 2019010 2220911 2826614 3028515 3172730 3490003 4239921 4441822 4759095 6057030 6662733 6980006 7066535 8479842 9518190 10470009 11104555 13325466 14133070 15546377 17450015 20940018 21199605 22209110 24430021 31092754 33313665 34900030 42399210 46639131 48860042 52350045 66627330 73290063 77731885 93278262 104700090 122150105 146580126 155463770 171010147 233195655 244300210 342020294 366450315 466391310 513030441 732900630 855050735 1026060882 1710101470 2565152205 5130304410