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5206325220 = 2234514921569
BaseRepresentation
bin1001101100101001…
…00011011111100100
3111102211121201120000
410312110203133210
541130304401340
62220341341300
7243006014505
oct46624433744
914384551500
105206325220
112231920218
121013707830
1364c81bc15
1437564cbac
1520710ed30
hex1365237e4

5206325220 has 120 divisors (see below), whose sum is σ = 16442811000. Its totient is φ = 1378971648.

The previous prime is 5206325209. The next prime is 5206325227. The reversal of 5206325220 is 225236025.

5206325220 is a `hidden beast` number, since 5 + 2 + 0 + 632 + 5 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 4986336996 = 14832^2 + 70614^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5206325227) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 230596 + ... + 252164.

It is an arithmetic number, because the mean of its divisors is an integer number (137023425).

Almost surely, 25206325220 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 5206325220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221405500).

5206325220 is an abundant number, since it is smaller than the sum of its proper divisors (11236485780).

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

5206325220 is a wasteful number, since it uses less digits than its factorization.

5206325220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739 (or 21728 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5206325220 is about 72154.8696901325. The cubic root of 5206325220 is about 1733.1803815563.

The spelling of 5206325220 in words is "five billion, two hundred six million, three hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 149 162 180 270 298 324 405 447 540 596 745 810 894 1341 1490 1620 1788 2235 2682 2980 4023 4470 5364 6705 8046 8940 12069 13410 16092 20115 21569 24138 26820 40230 43138 48276 60345 64707 80460 86276 107845 120690 129414 194121 215690 241380 258828 323535 388242 431380 582363 647070 776484 970605 1164726 1294140 1747089 1941210 2329452 2911815 3213781 3494178 3882420 5823630 6427562 6988356 8735445 9641343 11647260 12855124 16068905 17470890 19282686 28924029 32137810 34941780 38565372 48206715 57848058 64275620 86772087 96413430 115696116 144620145 173544174 192826860 260316261 289240290 347088348 433860435 520632522 578480580 867720870 1041265044 1301581305 1735441740 2603162610 5206325220