| Base | Representation |
|---|---|
| bin | 100001010000110010000 |
| 3 | 2001101010000 |
| 4 | 10022012100 |
| 5 | 234334221 |
| 6 | 35210000 |
| 7 | 12156441 |
| oct | 4120620 |
| 9 | 2041100 |
| 10 | 1089936 |
| 11 | 684981 |
| 12 | 446900 |
| 13 | 2c2143 |
| 14 | 2052c8 |
| 15 | 167e26 |
| hex | 10a190 |
1089936 has 75 divisors (see below), whose sum is σ = 3267121. Its totient is φ = 350784.
The previous prime is 1089919. The next prime is 1089941. The reversal of 1089936 is 6399801.
The square root of 1089936 is 1044.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 571536 + 518400 = 756^2 + 720^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 1089936.
It is an unprimeable number.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37570 + ... + 37598.
21089936 is an apocalyptic number.
1089936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
1089936 is the 1044-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1089936
1089936 is an abundant number, since it is smaller than the sum of its proper divisors (2177185).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1089936 is an equidigital number, since it uses as much as digits as its factorization.
1089936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The cubic root of 1089936 is about 102.9122323939.
Multiplying 1089936 by its sum of digits (36), we get a square (39237696 = 62642).
1089936 divided by its sum of digits (36) gives a square (30276 = 1742).
Multiplying 1089936 by its product of nonzero digits (11664), we get a square (12713013504 = 1127522).
It can be divided in two parts, 1089 and 936, that added together give a square (2025 = 452).
The spelling of 1089936 in words is "one million, eighty-nine thousand, nine hundred thirty-six".
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