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81360126 = 2342691867
BaseRepresentation
bin1001101100101…
…11010011111110
312200002112010000
410312113103332
5131312011001
612023455130
72005356351
oct466272376
9180075100
1081360126
1141a20081
12232b74a6
1313b184b3
14ab3c298
157221a86
hex4d974fe

81360126 has 40 divisors (see below), whose sum is σ = 183082680. Its totient is φ = 27004752.

The previous prime is 81360121. The next prime is 81360127. The reversal of 81360126 is 62106318.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81360126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81360121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42645 + ... + 44511.

It is an arithmetic number, because the mean of its divisors is an integer number (4577067).

Almost surely, 281360126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81360126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91541340).

81360126 is an abundant number, since it is smaller than the sum of its proper divisors (101722554).

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

81360126 is a wasteful number, since it uses less digits than its factorization.

81360126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 81360126 is about 9019.9848115171. The cubic root of 81360126 is about 433.3151472973.

The spelling of 81360126 in words is "eighty-one million, three hundred sixty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 807 1614 1867 2421 3734 4842 5601 7263 11202 14526 16803 21789 33606 43578 50409 100818 151227 302454 502223 1004446 1506669 3013338 4520007 9040014 13560021 27120042 40680063 81360126