Search a number
-
+
5320201200 = 243528235387
BaseRepresentation
bin1001111010001101…
…11101001111110000
3111201202220020000220
410331012331033300
541343432414300
62235530213040
7245560651446
oct47506751760
914652806026
105320201200
1122901299a6
121045884180
1366a2b0562
14386812b96
15212105da0
hex13d1bd3f0

5320201200 has 120 divisors (see below), whose sum is σ = 17066252928. Its totient is φ = 1416733440.

The previous prime is 5320201199. The next prime is 5320201207. The reversal of 5320201200 is 21020235.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5320201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5320201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984907 + ... + 990293.

Almost surely, 25320201200 is an apocalyptic number.

5320201200 is a gapful number since it is divisible by the number (50) 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 5320201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533126464).

5320201200 is an abundant number, since it is smaller than the sum of its proper divisors (11746051728).

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

5320201200 is a wasteful number, since it uses less digits than its factorization.

5320201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5320201200 is about 72939.7093495717. The cubic root of 5320201200 is about 1745.7257540025.

Adding to 5320201200 its reverse (21020235), we get a palindrome (5341221435).

The spelling of 5320201200 in words is "five billion, three hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 823 1200 1646 2469 3292 4115 4938 5387 6584 8230 9876 10774 12345 13168 16161 16460 19752 20575 21548 24690 26935 32322 32920 39504 41150 43096 49380 53870 61725 64644 65840 80805 82300 86192 98760 107740 123450 129288 134675 161610 164600 197520 215480 246900 258576 269350 323220 329200 404025 430960 493800 538700 646440 808050 987600 1077400 1292880 1616100 2154800 3232200 4433501 6464400 8867002 13300503 17734004 22167505 26601006 35468008 44335010 53202012 66502515 70936016 88670020 106404024 110837525 133005030 177340040 212808048 221675050 266010060 332512575 354680080 443350100 532020120 665025150 886700200 1064040240 1330050300 1773400400 2660100600 5320201200