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80505300 = 223521272113
BaseRepresentation
bin1001100110001…
…10100111010100
312121111002111210
410303012213110
5131102132200
611553301420
71665166221
oct463064724
9177432453
1080505300
1141496907
1222b64870
13138a9395
14a998948
157103650
hex4cc69d4

80505300 has 72 divisors (see below), whose sum is σ = 234873856. Its totient is φ = 21288960.

The previous prime is 80505281. The next prime is 80505301. The reversal of 80505300 is 350508.

It is a super-2 number, since 2×805053002 = 12962206656180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80505301) 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 23 ways as a sum of consecutive naturals, for example, 37044 + ... + 39156.

Almost surely, 280505300 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 80505300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117436928).

80505300 is an abundant number, since it is smaller than the sum of its proper divisors (154368556).

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

80505300 is a wasteful number, since it uses less digits than its factorization.

80505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 80505300 is about 8972.4745750545. The cubic root of 80505300 is about 431.7922311946.

Adding to 80505300 its reverse (350508), we get a palindrome (80855808).

The spelling of 80505300 in words is "eighty million, five hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2113 2540 3175 3810 4226 6339 6350 7620 8452 9525 10565 12678 12700 19050 21130 25356 31695 38100 42260 52825 63390 105650 126780 158475 211300 268351 316950 536702 633900 805053 1073404 1341755 1610106 2683510 3220212 4025265 5367020 6708775 8050530 13417550 16101060 20126325 26835100 40252650 80505300