Base | Representation |
---|---|
bin | 101010010001… |
… | …000101100000 |
3 | 202211220221120 |
4 | 222101011200 |
5 | 10314030112 |
6 | 1033252240 |
7 | 163115205 |
oct | 52210540 |
9 | 22756846 |
10 | 11080032 |
11 | 6288657 |
12 | 3864080 |
13 | 23ac342 |
14 | 1685cac |
15 | e8ce8c |
hex | a91160 |
11080032 has 48 divisors (see below), whose sum is σ = 29276352. Its totient is φ = 3669120.
The previous prime is 11080009. The next prime is 11080033. The reversal of 11080032 is 23008011.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a junction number, because it is equal to n+sod(n) for n = 11079993 and 11080020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11080033) 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, 19983 + ... + 20529.
It is an arithmetic number, because the mean of its divisors is an integer number (609924).
Almost surely, 211080032 is an apocalyptic number.
11080032 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 11080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638176).
11080032 is an abundant number, since it is smaller than the sum of its proper divisors (18196320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11080032 is a wasteful number, since it uses less digits than its factorization.
11080032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 771 (or 763 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 11080032 is about 3328.6682021493. The cubic root of 11080032 is about 222.9360685979.
Adding to 11080032 its reverse (23008011), we get a palindrome (34088043).
The spelling of 11080032 in words is "eleven million, eighty thousand, thirty-two".
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