| Base | Representation |
|---|---|
| bin | 1001101100001… |
| … | …10100101010000 |
| 3 | 12122222001010000 |
| 4 | 10312012211100 |
| 5 | 131302312400 |
| 6 | 12022210000 |
| 7 | 2004652515 |
| oct | 466064520 |
| 9 | 178861100 |
| 10 | 81291600 |
| 11 | 41983645 |
| 12 | 23283900 |
| 13 | 13ac3250 |
| 14 | ab2130c |
| 15 | 720b600 |
| hex | 4d86950 |
81291600 has 300 divisors, whose sum is σ = 315819196. Its totient is φ = 19906560.
The previous prime is 81291593. The next prime is 81291647. The reversal of 81291600 is 619218.
It can be written as a sum of positive squares in 6 ways, for example, as 16842816 + 64448784 = 4104^2 + 8028^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 59 ways as a sum of consecutive naturals, for example, 421104 + ... + 421296.
Almost surely, 281291600 is an apocalyptic number.
81291600 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 81291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157909598).
81291600 is an abundant number, since it is smaller than the sum of its proper divisors (234527596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81291600 is a wasteful number, since it uses less digits than its factorization.
81291600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 81291600 is about 9016.1854461851. The cubic root of 81291600 is about 433.1934591288.
It can be divided in two parts, 81 and 291600, that multiplied together give a square (23619600 = 48602).
The spelling of 81291600 in words is "eighty-one million, two hundred ninety-one thousand, six hundred".
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