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81134560 = 25513192053
BaseRepresentation
bin1001101011000…
…00001111100000
312122200001200201
410311200033200
5131232301220
612014554544
72003426623
oct465401740
9178601621
1081134560
1141886661
1223208a54
1313a69920
14aabddba
1571c9d0a
hex4d603e0

81134560 has 96 divisors (see below), whose sum is σ = 217395360. Its totient is φ = 28366848.

The previous prime is 81134539. The next prime is 81134621. The reversal of 81134560 is 6543118.

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, 38494 + ... + 40546.

It is an arithmetic number, because the mean of its divisors is an integer number (2264535).

Almost surely, 281134560 is an apocalyptic number.

81134560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108697680).

81134560 is an abundant number, since it is smaller than the sum of its proper divisors (136260800).

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

81134560 is a wasteful number, since it uses less digits than its factorization.

81134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 81134560 is about 9007.4724534688. The cubic root of 81134560 is about 432.9143300262.

Adding to 81134560 its reverse (6543118), we get a palindrome (87677678).

The spelling of 81134560 in words is "eighty-one million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2053 2080 2470 3040 3952 4106 4940 7904 8212 9880 10265 16424 19760 20530 26689 32848 39007 39520 41060 53378 65696 78014 82120 106756 133445 156028 164240 195035 213512 266890 312056 328480 390070 427024 507091 533780 624112 780140 854048 1014182 1067560 1248224 1560280 2028364 2135120 2535455 3120560 4056728 4270240 5070910 6241120 8113456 10141820 16226912 20283640 40567280 81134560