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81306140 = 225291031361
BaseRepresentation
bin1001101100010…
…10001000011100
312122222210001112
410312022020130
5131303244030
612022401152
72005043066
oct466121034
9178883045
1081306140
1141993563
12232901b8
1313ac9a56
14ab26736
157210a95
hex4d8a21c

81306140 has 48 divisors (see below), whose sum is σ = 178476480. Its totient is φ = 31073280.

The previous prime is 81306139. The next prime is 81306191. The reversal of 81306140 is 4160318.

It is a super-2 number, since 2×813061402 = 13221376803399200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59060 + ... + 60420.

It is an arithmetic number, because the mean of its divisors is an integer number (3718260).

Almost surely, 281306140 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 81306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89238240).

81306140 is an abundant number, since it is smaller than the sum of its proper divisors (97170340).

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

81306140 is a wasteful number, since it uses less digits than its factorization.

81306140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 81306140 is about 9016.9917378248. The cubic root of 81306140 is about 433.2192849108.

Adding to 81306140 its reverse (4160318), we get a palindrome (85466458).

The spelling of 81306140 in words is "eighty-one million, three hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 1361 2060 2722 2987 5444 5974 6805 11948 13610 14935 27220 29870 39469 59740 78938 140183 157876 197345 280366 394690 560732 700915 789380 1401830 2803660 4065307 8130614 16261228 20326535 40653070 81306140