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534286720 = 27511292617
BaseRepresentation
bin11111110110001…
…001000110000000
31101020100120121001
4133312021012000
52043234133340
6125003341344
716145235142
oct3766110600
91336316531
10534286720
11254655580
1212ab21854
13868cb2b6
1450d5cc92
1531d8c29a
hex1fd89180

534286720 has 128 divisors (see below), whose sum is σ = 1441994400. Its totient is φ = 187514880.

The previous prime is 534286681. The next prime is 534286729. The reversal of 534286720 is 27682435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 534286720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534286729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202852 + ... + 205468.

Almost surely, 2534286720 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 534286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720997200).

534286720 is an abundant number, since it is smaller than the sum of its proper divisors (907707680).

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

534286720 is a wasteful number, since it uses less digits than its factorization.

534286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 534286720 is about 23114.6429779912. The cubic root of 534286720 is about 811.4432026154.

The spelling of 534286720 in words is "five hundred thirty-four million, two hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 2617 3190 3520 3712 4640 5104 5234 6380 7040 9280 10208 10468 12760 13085 18560 20416 20936 25520 26170 28787 40832 41872 51040 52340 57574 75893 83744 102080 104680 115148 143935 151786 167488 204160 209360 230296 287870 303572 334976 379465 418720 460592 575740 607144 758930 834823 837440 921184 1151480 1214288 1517860 1669646 1674880 1842368 2302960 2428576 3035720 3339292 3684736 4174115 4605920 4857152 6071440 6678584 8348230 9211840 9714304 12142880 13357168 16696460 18423680 24285760 26714336 33392920 48571520 53428672 66785840 106857344 133571680 267143360 534286720