Base | Representation |
---|---|
bin | 111111110101011100000 |
3 | 10221021100000 |
4 | 13332223200 |
5 | 1013413434 |
6 | 112500000 |
7 | 23531244 |
oct | 7765340 |
9 | 3837300 |
10 | 2091744 |
11 | 11a9616 |
12 | 84a600 |
13 | 583125 |
14 | 3c6424 |
15 | 2b4b99 |
hex | 1feae0 |
2091744 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 694656.
The previous prime is 2091737. The next prime is 2091763. The reversal of 2091744 is 4471902.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
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 (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7642 + ... + 7910.
It is an arithmetic number, because the mean of its divisors is an integer number (85995).
22091744 is an apocalyptic number.
2091744 is a gapful number since it is divisible by the number (24) 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 2091744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).
2091744 is an abundant number, since it is smaller than the sum of its proper divisors (4099896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2091744 is an equidigital number, since it uses as much as digits as its factorization.
2091744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294 (or 274 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 2091744 is about 1446.2862787152. The cubic root of 2091744 is about 127.8898792466.
It can be divided in two parts, 209 and 1744, that added together give a triangular number (1953 = T62).
The spelling of 2091744 in words is "two million, ninety-one thousand, seven hundred forty-four".
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