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81323640 = 233252231013
BaseRepresentation
bin1001101100011…
…10011001111000
312200000200001200
410312032121320
5131304324030
612023014200
72005145106
oct466163170
9180020050
1081323640
11419a5722
122329a360
1313b049c8
14ab2cc76
157215d60
hex4d8e678

81323640 has 96 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 21567744.

The previous prime is 81323609. The next prime is 81323647. The reversal of 81323640 is 4632318.

It is a happy number.

81323640 is a `hidden beast` number, since 8 + 13 + 2 + 3 + 640 = 666.

It is a super-2 number, since 2×813236402 = 13227068845699200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81323647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79774 + ... + 80786.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 281323640 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 81323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

81323640 is an abundant number, since it is smaller than the sum of its proper divisors (184425480).

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

81323640 is a wasteful number, since it uses less digits than its factorization.

81323640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 81323640 is about 9017.9620757686. The cubic root of 81323640 is about 433.2503641283.

Adding to 81323640 its reverse (4632318), we get a palindrome (85955958).

The spelling of 81323640 in words is "eighty-one million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1013 1115 1338 1784 2007 2026 2230 2676 3039 3345 4014 4052 4460 5065 5352 6078 6690 8028 8104 8920 9117 10035 10130 12156 13380 15195 16056 18234 20070 20260 24312 26760 30390 36468 40140 40520 45585 60780 72936 80280 91170 121560 182340 225899 364680 451798 677697 903596 1129495 1355394 1807192 2033091 2258990 2710788 3388485 4066182 4517980 5421576 6776970 8132364 9035960 10165455 13553940 16264728 20330910 27107880 40661820 81323640