Base | Representation |
---|---|
bin | 101100111011… |
… | …111111000000 |
3 | 211011111011111 |
4 | 230323333000 |
5 | 11003430112 |
6 | 1100253104 |
7 | 202062055 |
oct | 54737700 |
9 | 24144144 |
10 | 11780032 |
11 | 6716570 |
12 | 3b41194 |
13 | 2595b44 |
14 | 17c902c |
15 | 107a5a7 |
hex | b3bfc0 |
11780032 has 56 divisors (see below), whose sum is σ = 26426160. Its totient is φ = 5160960.
The previous prime is 11780029. The next prime is 11780039. The reversal of 11780032 is 23008711.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 11779985 and 11780012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11780039) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20128 + ... + 20704.
Almost surely, 211780032 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 11780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213080).
11780032 is an abundant number, since it is smaller than the sum of its proper divisors (14646128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11780032 is a wasteful number, since it uses less digits than its factorization.
11780032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 629 (or 619 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 22.
The square root of 11780032 is about 3432.2051220753. The cubic root of 11780032 is about 227.5353211672.
Adding to 11780032 its reverse (23008711), we get a palindrome (34788743).
The spelling of 11780032 in words is "eleven million, seven hundred eighty thousand, thirty-two".
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