| Base | Representation |
|---|---|
| bin | 101101000111… |
| … | …100001100000 |
| 3 | 211020220000000 |
| 4 | 231013201200 |
| 5 | 11011433141 |
| 6 | 1101300000 |
| 7 | 202346625 |
| oct | 55074140 |
| 9 | 24226000 |
| 10 | 11827296 |
| 11 | 6749028 |
| 12 | 3b64600 |
| 13 | 25b1500 |
| 14 | 17dc34c |
| 15 | 10895b6 |
| hex | b47860 |
11827296 has 144 divisors (see below), whose sum is σ = 37815120. Its totient is φ = 3639168.
The previous prime is 11827271. The next prime is 11827297. The reversal of 11827296 is 69272811.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (12096) is a multiple of the sum of its prime divisors (18).
It is a self number, because there is not a number n which added to its sum of digits gives 11827296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11827297) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909786 + ... + 909798.
It is an arithmetic number, because the mean of its divisors is an integer number (262605).
Almost surely, 211827296 is an apocalyptic number.
11827296 is a gapful number since it is divisible by the number (16) 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 11827296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18907560).
11827296 is an abundant number, since it is smaller than the sum of its proper divisors (25987824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11827296 is an frugal number, since it uses more digits than its factorization.
11827296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 18 counting only the distinct ones).
The product of its digits is 12096, while the sum is 36.
The square root of 11827296 is about 3439.0835988676. The cubic root of 11827296 is about 227.8392218312.
The spelling of 11827296 in words is "eleven million, eight hundred twenty-seven thousand, two hundred ninety-six".
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