Base | Representation |
---|---|
bin | 1001101100010… |
… | …11111010100000 |
3 | 12200000011001220 |
4 | 10312023322200 |
5 | 131304012230 |
6 | 12022455040 |
7 | 2005103265 |
oct | 466137240 |
9 | 180004056 |
10 | 81313440 |
11 | 41998a9a |
12 | 23294480 |
13 | 13b00180 |
14 | ab2926c |
15 | 7212d10 |
hex | 4d8bea0 |
81313440 has 192 divisors, whose sum is σ = 280941696. Its totient is φ = 19648512.
The previous prime is 81313439. The next prime is 81313447. The reversal of 81313440 is 4431318.
It is a super-2 number, since 2×813134402 = 13223751049267200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 81313440.
It is not an unprimeable number, because it can be changed into a prime (81313447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517842 + ... + 517998.
It is an arithmetic number, because the mean of its divisors is an integer number (1463238).
Almost surely, 281313440 is an apocalyptic number.
81313440 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 81313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140470848).
81313440 is an abundant number, since it is smaller than the sum of its proper divisors (199628256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81313440 is a wasteful number, since it uses less digits than its factorization.
81313440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 271 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 81313440 is about 9017.3965200605. The cubic root of 81313440 is about 433.2322499264.
Adding to 81313440 its reverse (4431318), we get a palindrome (85744758).
The spelling of 81313440 in words is "eighty-one million, three hundred thirteen thousand, four hundred forty".
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