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528724020 = 2235112193833
BaseRepresentation
bin11111100000111…
…011000000110100
31100211212222000010
4133200323000310
52040323132040
6124244220220
716050036306
oct3740730064
91324788003
10528724020
112514a6200
1212909a670
1385701366
1450311976
153163de80
hex1f83b034

528724020 has 144 divisors (see below), whose sum is σ = 1713337920. Its totient is φ = 121397760.

The previous prime is 528723989. The next prime is 528724051. The reversal of 528724020 is 20427825.

It is an interprime number because it is at equal distance from previous prime (528723989) and next prime (528724051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136024 + ... + 139856.

It is an arithmetic number, because the mean of its divisors is an integer number (11898180).

Almost surely, 2528724020 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 528724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856668960).

528724020 is an abundant number, since it is smaller than the sum of its proper divisors (1184613900).

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

528724020 is a wasteful number, since it uses less digits than its factorization.

528724020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 528724020 is about 22993.9996520831. Note that the first 3 decimals coincide. The cubic root of 528724020 is about 808.6172720815.

The spelling of 528724020 in words is "five hundred twenty-eight million, seven hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 3833 4180 4598 6270 6897 7260 7666 9196 11495 11499 12540 13794 15332 19165 22990 22998 27588 34485 38330 42163 45980 45996 57495 68970 72827 76660 84326 114990 126489 137940 145654 168652 210815 218481 229980 252978 291308 364135 421630 436962 463793 505956 632445 728270 801097 843260 873924 927586 1092405 1264890 1391379 1456540 1602194 1855172 2184810 2318965 2403291 2529780 2782758 3204388 4005485 4369620 4637930 4806582 5565516 6956895 8010970 8812067 9275860 9613164 12016455 13913790 16021940 17624134 24032910 26436201 27827580 35248268 44060335 48065820 52872402 88120670 105744804 132181005 176241340 264362010 528724020