Base | Representation |
---|---|
bin | 101101001001… |
… | …001010110000 |
3 | 211021020020111 |
4 | 231021022300 |
5 | 11012142112 |
6 | 1101351104 |
7 | 202405360 |
oct | 55111260 |
9 | 24236214 |
10 | 11834032 |
11 | 67530a1 |
12 | 3b68494 |
13 | 25b45b2 |
14 | 18009a0 |
15 | 108b5a7 |
hex | b492b0 |
11834032 has 40 divisors (see below), whose sum is σ = 26410016. Its totient is φ = 5031936.
The previous prime is 11834003. The next prime is 11834047. The reversal of 11834032 is 23043811.
It is a junction number, because it is equal to n+sod(n) for n = 11833994 and 11834012.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17248 + ... + 17920.
Almost surely, 211834032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11834032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205008).
11834032 is an abundant number, since it is smaller than the sum of its proper divisors (14575984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11834032 is a wasteful number, since it uses less digits than its factorization.
11834032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 845 (or 839 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 11834032 is about 3440.0627901246. The cubic root of 11834032 is about 227.8824673804.
Adding to 11834032 its reverse (23043811), we get a palindrome (34877843).
It can be divided in two parts, 1183 and 4032, that multiplied together give a square (4769856 = 21842).
The spelling of 11834032 in words is "eleven million, eight hundred thirty-four thousand, thirty-two".
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