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80320500 = 223253131373
BaseRepresentation
bin1001100100110…
…01011111110100
312121010201000100
410302121133310
5131030224000
611545314100
71663466361
oct462313764
9177121010
1080320500
114137aa87
1222a95930
1313843230
14a94b468
1570b8a00
hex4c997f4

80320500 has 144 divisors (see below), whose sum is σ = 273074256. Its totient is φ = 19756800.

The previous prime is 80320421. The next prime is 80320507. The reversal of 80320500 is 502308.

It can be written as a sum of positive squares in 8 ways, for example, as 15968016 + 64352484 = 3996^2 + 8022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80320507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57814 + ... + 59186.

It is an arithmetic number, because the mean of its divisors is an integer number (1896349).

Almost surely, 280320500 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 80320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136537128).

80320500 is an abundant number, since it is smaller than the sum of its proper divisors (192753756).

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

80320500 is a wasteful number, since it uses less digits than its factorization.

80320500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80320500 is about 8962.1704960350. The cubic root of 80320500 is about 431.4615848936.

Adding to 80320500 its reverse (502308), we get a palindrome (80822808).

The spelling of 80320500 in words is "eighty million, three hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1373 1500 1625 1950 2250 2340 2746 2925 3250 3900 4119 4500 4875 5492 5850 6500 6865 8238 9750 11700 12357 13730 14625 16476 17849 19500 20595 24714 27460 29250 34325 35698 41190 49428 53547 58500 61785 68650 71396 82380 89245 102975 107094 123570 137300 160641 171625 178490 205950 214188 247140 267735 308925 321282 343250 356980 411900 446225 514875 535470 617850 642564 686500 803205 892450 1029750 1070940 1235700 1338675 1544625 1606410 1784900 2059500 2231125 2677350 3089250 3212820 4016025 4462250 5354700 6178500 6693375 8032050 8924500 13386750 16064100 20080125 26773500 40160250 80320500