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81327150 = 232521710631
BaseRepresentation
bin1001101100011…
…11010000101110
312200000211212200
410312033100232
5131304432100
612023042330
72005161252
oct466172056
9180024780
1081327150
11419a8323
12232a03a6
1313b06498
14ab30262
157216e00
hex4d8f42e

81327150 has 72 divisors (see below), whose sum is σ = 231373584. Its totient is φ = 20409600.

The previous prime is 81327143. The next prime is 81327151. The reversal of 81327150 is 5172318.

It is a super-2 number, since 2×813271502 = 13228210654245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81327151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2335 + ... + 12965.

It is an arithmetic number, because the mean of its divisors is an integer number (3213522).

Almost surely, 281327150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81327150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115686792).

81327150 is an abundant number, since it is smaller than the sum of its proper divisors (150046434).

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

81327150 is a wasteful number, since it uses less digits than its factorization.

81327150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 81327150 is about 9018.1566852656. The cubic root of 81327150 is about 433.2565971945.

Adding to 81327150 its reverse (5172318), we get a palindrome (86499468).

The spelling of 81327150 in words is "eighty-one million, three hundred twenty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 10631 21262 31893 53155 63786 95679 106310 159465 180727 191358 265775 318930 361454 478395 531550 542181 797325 903635 956790 1084362 1594650 1626543 1807270 2391975 2710905 3253086 4518175 4783950 5421810 8132715 9036350 13554525 16265430 27109050 40663575 81327150