Base | Representation |
---|---|
bin | 101100111110… |
… | …101111100100 |
3 | 211012001200000 |
4 | 230332233210 |
5 | 11004310312 |
6 | 1100421300 |
7 | 202140030 |
oct | 54765744 |
9 | 24161600 |
10 | 11791332 |
11 | 6724003 |
12 | 3b47830 |
13 | 259b027 |
14 | 17cd1c0 |
15 | 107dadc |
hex | b3ebe4 |
11791332 has 72 divisors (see below), whose sum is σ = 35345856. Its totient is φ = 3367008.
The previous prime is 11791321. The next prime is 11791349. The reversal of 11791332 is 23319711.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 junction number, because it is equal to n+sod(n) for n = 11791296 and 11791305.
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, 5938 + ... + 7670.
Almost surely, 211791332 is an apocalyptic number.
11791332 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 11791332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17672928).
11791332 is an abundant number, since it is smaller than the sum of its proper divisors (23554524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11791332 is a wasteful number, since it uses less digits than its factorization.
11791332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1759 (or 1745 counting only the distinct ones).
The product of its digits is 1134, while the sum is 27.
The square root of 11791332 is about 3433.8508995004. The cubic root of 11791332 is about 227.6080523630.
The spelling of 11791332 in words is "eleven million, seven hundred ninety-one thousand, three hundred thirty-two".
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