Base | Representation |
---|---|
bin | 101100110001… |
… | …111011010000 |
3 | 211002101122120 |
4 | 230301323100 |
5 | 11001120312 |
6 | 1055334240 |
7 | 201531000 |
oct | 54617320 |
9 | 24071576 |
10 | 11738832 |
11 | 6698616 |
12 | 3b21380 |
13 | 2580171 |
14 | 17b8000 |
15 | 106d28c |
hex | b31ed0 |
11738832 has 160 divisors (see below), whose sum is σ = 38092800. Its totient is φ = 3104640.
The previous prime is 11738819. The next prime is 11738849. The reversal of 11738832 is 23883711.
11738832 is digitally balanced in base 2 and base 8, 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.
11738832 is strictly pandigital in base 8.
It is a junction number, because it is equal to n+sod(n) for n = 11738793 and 11738802.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378657 + ... + 378687.
It is an arithmetic number, because the mean of its divisors is an integer number (238080).
Almost surely, 211738832 is an apocalyptic number.
11738832 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 11738832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046400).
11738832 is an abundant number, since it is smaller than the sum of its proper divisors (26353968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11738832 is a wasteful number, since it uses less digits than its factorization.
11738832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86 (or 66 counting only the distinct ones).
The product of its digits is 8064, while the sum is 33.
The square root of 11738832 is about 3426.1978927085. The cubic root of 11738832 is about 227.2697473161.
The spelling of 11738832 in words is "eleven million, seven hundred thirty-eight thousand, eight hundred thirty-two".
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