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81302560 = 2552691889
BaseRepresentation
bin1001101100010…
…01010000100000
312122222121010221
410312021100200
5131303140220
612022332424
72005026463
oct466112040
9178877127
1081302560
11419908a9
122328a114
1313ac8231
14ab252da
15720e9aa
hex4d89420

81302560 has 48 divisors (see below), whose sum is σ = 192893400. Its totient is φ = 32382976.

The previous prime is 81302521. The next prime is 81302581. The reversal of 81302560 is 6520318.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 36626704 = 6684^2 + 6052^2 .

It is a super-2 number, since 2×813025602 = 13220212525107200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42096 + ... + 43984.

Almost surely, 281302560 is an apocalyptic number.

81302560 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 81302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96446700).

81302560 is an abundant number, since it is smaller than the sum of its proper divisors (111590840).

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

81302560 is a wasteful number, since it uses less digits than its factorization.

81302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 81302560 is about 9016.7932215395. The cubic root of 81302560 is about 433.2129264414.

Adding to 81302560 its reverse (6520318), we get a palindrome (87822878).

The spelling of 81302560 in words is "eighty-one million, three hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 1889 2152 2690 3778 4304 5380 7556 8608 9445 10760 15112 18890 21520 30224 37780 43040 60448 75560 151120 302240 508141 1016282 2032564 2540705 4065128 5081410 8130256 10162820 16260512 20325640 40651280 81302560