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81521280 = 2732514153
BaseRepresentation
bin1001101101111…
…10101010000000
312200101201011200
410312332222000
5131332140110
612031141200
72006630241
oct466765200
9180351150
1081521280
1142020165
1223374800
1313b73959
14ab80cc8
1572546c0
hex4dbea80

81521280 has 96 divisors (see below), whose sum is σ = 281523060. Its totient is φ = 21737472.

The previous prime is 81521213. The next prime is 81521281. The reversal of 81521280 is 8212518.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 1382976 = 8952^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (81521281) 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 11 ways as a sum of consecutive naturals, for example, 1317 + ... + 12836.

Almost surely, 281521280 is an apocalyptic number.

81521280 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 81521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140761530).

81521280 is an abundant number, since it is smaller than the sum of its proper divisors (200001780).

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

81521280 is a wasteful number, since it uses less digits than its factorization.

81521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 81521280 is about 9028.9135559047. The cubic root of 81521280 is about 433.6010548124.

Adding to 81521280 its reverse (8212518), we get a palindrome (89733798).

The spelling of 81521280 in words is "eighty-one million, five hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 14153 28306 42459 56612 70765 84918 113224 127377 141530 169836 212295 226448 254754 283060 339672 424590 452896 509508 566120 636885 679344 849180 905792 1019016 1132240 1273770 1358688 1698360 1811584 2038032 2264480 2547540 2717376 3396720 4076064 4528960 5095080 5434752 6793440 8152128 9057920 10190160 13586880 16304256 20380320 27173760 40760640 81521280