| Base | Representation |
|---|---|
| bin | 101100011010… |
| … | …000110100000 |
| 3 | 210220102210100 |
| 4 | 230122012200 |
| 5 | 10440004443 |
| 6 | 1053302400 |
| 7 | 200643333 |
| oct | 54320640 |
| 9 | 23812710 |
| 10 | 11641248 |
| 11 | 6631273 |
| 12 | 3a94a00 |
| 13 | 2547918 |
| 14 | 179061a |
| 15 | 104e3d3 |
| hex | b1a1a0 |
11641248 has 72 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 3825792.
The previous prime is 11641247. The next prime is 11641249. The reversal of 11641248 is 84214611.
It is a happy number.
11641248 is a `hidden beast` number, since 11 + 641 + 2 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (11641247) and next prime (11641249).
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (11641247) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23661 + ... + 24147.
It is an arithmetic number, because the mean of its divisors is an integer number (466284).
Almost surely, 211641248 is an apocalyptic number.
11641248 is a gapful number since it is divisible by the number (18) 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 11641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).
11641248 is an abundant number, since it is smaller than the sum of its proper divisors (21931200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11641248 is a wasteful number, since it uses less digits than its factorization.
11641248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 586 (or 575 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 11641248 is about 3411.9273145834. The cubic root of 11641248 is about 226.6382355728.
Adding to 11641248 its reverse (84214611), we get a palindrome (95855859).
The spelling of 11641248 in words is "eleven million, six hundred forty-one thousand, two hundred forty-eight".
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