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5729069520 = 243357137357
BaseRepresentation
bin1010101010111101…
…01010100111010000
3112210021020212221000
411111132222213100
543213120211040
62344253502000
7261654200406
oct52536524720
915707225830
105729069520
11247aa017a9
12113a7a1900
13703c08585
143c4c45476
15237e6c130
hex1557aa9d0

5729069520 has 160 divisors (see below), whose sum is σ = 20011933440. Its totient is φ = 1506193920.

The previous prime is 5729069459. The next prime is 5729069527. The reversal of 5729069520 is 259609275.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729069527) 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 31 ways as a sum of consecutive naturals, for example, 134682 + ... + 172038.

It is an arithmetic number, because the mean of its divisors is an integer number (125074584).

Almost surely, 25729069520 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 5729069520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005966720).

5729069520 is an abundant number, since it is smaller than the sum of its proper divisors (14282863920).

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

5729069520 is a wasteful number, since it uses less digits than its factorization.

5729069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37450 (or 37438 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5729069520 is about 75690.6171199575. The cubic root of 5729069520 is about 1789.3475270389.

The spelling of 5729069520 in words is "five billion, seven hundred twenty-nine million, sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1420 1704 1917 2130 2160 2556 2840 3195 3408 3834 4260 5112 5680 6390 7668 8520 9585 10224 12780 15336 17040 19170 25560 30672 37357 38340 51120 74714 76680 112071 149428 153360 186785 224142 298856 336213 373570 448284 560355 597712 672426 747140 896568 1008639 1120710 1344852 1494280 1681065 1793136 2017278 2241420 2652347 2689704 2988560 3362130 4034556 4482840 5043195 5304694 5379408 6724260 7957041 8069112 8965680 10086390 10609388 13261735 13448520 15914082 16138224 20172780 21218776 23871123 26523470 26897040 31828164 39785205 40345560 42437552 47742246 53046940 63656328 71613369 79570410 80691120 95484492 106093880 119355615 127312656 143226738 159140820 190968984 212187760 238711230 286453476 318281640 358066845 381937968 477422460 572906952 636563280 716133690 954844920 1145813904 1432267380 1909689840 2864534760 5729069520