Base | Representation |
---|---|
bin | 101101000110… |
… | …011011110000 |
3 | 211020122212200 |
4 | 231012123300 |
5 | 11011312312 |
6 | 1101223200 |
7 | 202330620 |
oct | 55063360 |
9 | 24218780 |
10 | 11822832 |
11 | 674573a |
12 | 3b61b00 |
13 | 25ac478 |
14 | 17da880 |
15 | 10880dc |
hex | b466f0 |
11822832 has 120 divisors (see below), whose sum is σ = 38958816. Its totient is φ = 3276288.
The previous prime is 11822821. The next prime is 11822857. The reversal of 11822832 is 23822811.
11822832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 11822796 and 11822805.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37138 + ... + 37454.
Almost surely, 211822832 is an apocalyptic number.
11822832 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 11822832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479408).
11822832 is an abundant number, since it is smaller than the sum of its proper divisors (27135984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11822832 is a wasteful number, since it uses less digits than its factorization.
11822832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 375 (or 366 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 11822832 is about 3438.4345275139. The cubic root of 11822832 is about 227.8105536196.
The spelling of 11822832 in words is "eleven million, eight hundred twenty-two thousand, eight hundred thirty-two".
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