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5103500320 = 255192149593
BaseRepresentation
bin1001100000011000…
…10011110000100000
3111011200010200022101
410300030103300200
540422444002240
62202225420144
7240320015452
oct46014236040
914150120271
105103500320
11218987a366
12ba519a654
13634429699
14365b242d2
151ed09d39a
hex130313c20

5103500320 has 144 divisors (see below), whose sum is σ = 12832003800. Its totient is φ = 1917739008.

The previous prime is 5103500293. The next prime is 5103500329. The reversal of 5103500320 is 230053015.

It can be written as a sum of positive squares in 4 ways, for example, as 3362608144 + 1740892176 = 57988^2 + 41724^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (5103500329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8605944 + ... + 8606536.

Almost surely, 25103500320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416001900).

5103500320 is an abundant number, since it is smaller than the sum of its proper divisors (7728503480).

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

5103500320 is a wasteful number, since it uses less digits than its factorization.

5103500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5103500320 is about 71438.7872237484. The cubic root of 5103500320 is about 1721.6943282490.

Adding to 5103500320 its reverse (230053015), we get a palindrome (5333553335).

The spelling of 5103500320 in words is "five billion, one hundred three million, five hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 149 152 160 190 298 304 361 380 593 596 608 722 745 760 1186 1192 1444 1490 1520 1805 2372 2384 2831 2888 2965 2980 3040 3610 4744 4768 5662 5776 5930 5960 7220 9488 11267 11324 11552 11860 11920 14155 14440 18976 22534 22648 23720 23840 28310 28880 45068 45296 47440 53789 56335 56620 57760 88357 90136 90592 94880 107578 112670 113240 176714 180272 214073 215156 225340 226480 268945 353428 360544 428146 430312 441785 450680 452960 537890 706856 856292 860624 883570 901360 1070365 1075780 1413712 1678783 1712584 1721248 1767140 1802720 2140730 2151560 2827424 3357566 3425168 3534280 4281460 4303120 6715132 6850336 7068560 8393915 8562920 8606240 13430264 14137120 16787830 17125840 26860528 31896877 33575660 34251680 53721056 63793754 67151320 127587508 134302640 159484385 255175016 268605280 318968770 510350032 637937540 1020700064 1275875080 2551750160 5103500320