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5260320 = 2532513281
BaseRepresentation
bin10100000100010000100000
3100220020210200
4110010100200
52321312240
6304425200
762466132
oct24042040
910806720
105260320
112a7317a
121918200
131122420
149ad052
156dd930
hex504420

5260320 has 144 divisors (see below), whose sum is σ = 19400472. Its totient is φ = 1290240.

The previous prime is 5260289. The next prime is 5260337. The reversal of 5260320 is 230625.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 1527696 = 1932^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 5260293 and 5260302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18580 + ... + 18860.

Almost surely, 25260320 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 5260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700236).

5260320 is an abundant number, since it is smaller than the sum of its proper divisors (14140152).

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

5260320 is a wasteful number, since it uses less digits than its factorization.

5260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

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

The square root of 5260320 is about 2293.5387504902. The cubic root of 5260320 is about 173.9151389603.

Adding to 5260320 its reverse (230625), we get a palindrome (5490945).

The spelling of 5260320 in words is "five million, two hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 281 288 312 360 390 416 468 480 520 562 585 624 720 780 843 936 1040 1124 1170 1248 1405 1440 1560 1686 1872 2080 2248 2340 2529 2810 3120 3372 3653 3744 4215 4496 4680 5058 5620 6240 6744 7306 8430 8992 9360 10116 10959 11240 12645 13488 14612 16860 18265 18720 20232 21918 22480 25290 26976 29224 32877 33720 36530 40464 43836 44960 50580 54795 58448 65754 67440 73060 80928 87672 101160 109590 116896 131508 134880 146120 164385 175344 202320 219180 263016 292240 328770 350688 404640 438360 526032 584480 657540 876720 1052064 1315080 1753440 2630160 5260320