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81205520 = 2451128389
BaseRepresentation
bin1001101011100…
…01100100010000
312122210200000212
410311301210100
5131242034040
612020303252
72004143534
oct465614420
9178720025
1081205520
1141924a00
1223241b28
1313a93006
14aadbbc4
1571e0d65
hex4d71910

81205520 has 60 divisors (see below), whose sum is σ = 207551820. Its totient is φ = 29525760.

The previous prime is 81205511. The next prime is 81205547. The reversal of 81205520 is 2550218.

It can be written as a sum of positive squares in 2 ways, for example, as 51437584 + 29767936 = 7172^2 + 5456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5486 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (3459197).

Almost surely, 281205520 is an apocalyptic number.

81205520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103775910).

81205520 is an abundant number, since it is smaller than the sum of its proper divisors (126346300).

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

81205520 is a wasteful number, since it uses less digits than its factorization.

81205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 81205520 is about 9011.4105444153. The cubic root of 81205520 is about 433.0405016989.

Adding to 81205520 its reverse (2550218), we get a palindrome (83755738).

The spelling of 81205520 in words is "eighty-one million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 8389 9680 16778 33556 41945 67112 83890 92279 134224 167780 184558 335560 369116 461395 671120 738232 922790 1015069 1476464 1845580 2030138 3691160 4060276 5075345 7382320 8120552 10150690 16241104 20301380 40602760 81205520