| Base | Representation |
|---|---|
| bin | 101100100101… |
| … | …100100000000 |
| 3 | 210222211012000 |
| 4 | 230211210000 |
| 5 | 10443010232 |
| 6 | 1054304000 |
| 7 | 201230235 |
| oct | 54454400 |
| 9 | 23884160 |
| 10 | 11688192 |
| 11 | 666356a |
| 12 | 3ab8000 |
| 13 | 25630b9 |
| 14 | 17a378c |
| 15 | 105d27c |
| hex | b25900 |
11688192 has 144 divisors (see below), whose sum is σ = 36792000. Its totient is φ = 3649536.
The previous prime is 11688181. The next prime is 11688203. The reversal of 11688192 is 29188611.
It is an interprime number because it is at equal distance from previous prime (11688181) and next prime (11688203).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×116881922 = 273227664457728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131284 + ... + 131372.
It is an arithmetic number, because the mean of its divisors is an integer number (255500).
Almost surely, 211688192 is an apocalyptic number.
11688192 is a gapful number since it is divisible by the number (12) 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 11688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396000).
11688192 is an abundant number, since it is smaller than the sum of its proper divisors (25103808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11688192 is an equidigital number, since it uses as much as digits as its factorization.
11688192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 133 (or 113 counting only the distinct ones).
The product of its digits is 6912, while the sum is 36.
The square root of 11688192 is about 3418.7997893998. The cubic root of 11688192 is about 226.9424708828.
The spelling of 11688192 in words is "eleven million, six hundred eighty-eight thousand, one hundred ninety-two".
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