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81133696 = 2772331127
BaseRepresentation
bin1001101011000…
…00000010000000
312122200000111201
410311200002000
5131232234241
612014550544
72003424250
oct465400200
9178600451
1081133696
1141885a46
1223208454
1313a69407
14aabd960
1571c9931
hex4d60080

81133696 has 128 divisors (see below), whose sum is σ = 200540160. Its totient is φ = 31933440.

The previous prime is 81133687. The next prime is 81133697. The reversal of 81133696 is 69633118.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (81133697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638785 + ... + 638911.

It is an arithmetic number, because the mean of its divisors is an integer number (1566720).

Almost surely, 281133696 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 81133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100270080).

81133696 is an abundant number, since it is smaller than the sum of its proper divisors (119406464).

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

81133696 is a wasteful number, since it uses less digits than its factorization.

81133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 81133696 is about 9007.4244931612. The cubic root of 81133696 is about 432.9127933226.

The spelling of 81133696 in words is "eighty-one million, one hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 127 128 161 184 217 224 248 254 322 368 434 448 496 508 644 713 736 868 889 896 992 1016 1288 1426 1472 1736 1778 1984 2032 2576 2852 2921 2944 3472 3556 3937 3968 4064 4991 5152 5704 5842 6944 7112 7874 8128 9982 10304 11408 11684 13888 14224 15748 16256 19964 20447 20608 22816 23368 27559 27776 28448 31496 39928 40894 45632 46736 55118 56896 62992 79856 81788 90551 91264 93472 110236 113792 125984 159712 163576 181102 186944 220472 251968 319424 327152 362204 373888 440944 503936 633857 638848 654304 724408 881888 1267714 1308608 1448816 1763776 2535428 2617216 2897632 3527552 5070856 5795264 10141712 11590528 20283424 40566848 81133696