Base | Representation |
---|---|
bin | 111111110001100000000 |
3 | 10221011120100 |
4 | 13332030000 |
5 | 1013332403 |
6 | 112442400 |
7 | 23522334 |
oct | 7761400 |
9 | 3834510 |
10 | 2089728 |
11 | 11a8053 |
12 | 849400 |
13 | 582234 |
14 | 3c57c4 |
15 | 2b42a3 |
hex | 1fe300 |
2089728 has 54 divisors (see below), whose sum is σ = 6031844. Its totient is φ = 695808.
The previous prime is 2089727. The next prime is 2089751. The reversal of 2089728 is 8279802.
It is a super-2 number, since 2×20897282 = 8733926227968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 2089692 and 2089701.
It is not an unprimeable number, because it can be changed into a prime (2089727) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1851 + ... + 2757.
22089728 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 2089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015922).
2089728 is an abundant number, since it is smaller than the sum of its proper divisors (3942116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2089728 is an equidigital number, since it uses as much as digits as its factorization.
2089728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 929 (or 912 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 2089728 is about 1445.5891532521. The cubic root of 2089728 is about 127.8487797508.
Subtracting from 2089728 its product of nonzero digits (16128), we obtain a square (2073600 = 14402).
The spelling of 2089728 in words is "two million, eighty-nine thousand, seven hundred twenty-eight".
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