Base | Representation |
---|---|
bin | 101101011110… |
… | …101001010000 |
3 | 211102200220120 |
4 | 231132221100 |
5 | 11023001000 |
6 | 1103310240 |
7 | 203223006 |
oct | 55365120 |
9 | 24380816 |
10 | 11922000 |
11 | 68031a2 |
12 | 3bab380 |
13 | 261564c |
14 | 1824a76 |
15 | 10a76a0 |
hex | b5ea50 |
11922000 has 80 divisors (see below), whose sum is σ = 38455872. Its totient is φ = 3177600.
The previous prime is 11921999. The next prime is 11922007. The reversal of 11922000 is 22911.
It is a happy number.
11922000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11922007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5007 + ... + 6993.
Almost surely, 211922000 is an apocalyptic number.
11922000 is a gapful number since it is divisible by the number (10) 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 11922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227936).
11922000 is an abundant number, since it is smaller than the sum of its proper divisors (26533872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11922000 is a wasteful number, since it uses less digits than its factorization.
11922000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2013 (or 1997 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 11922000 is about 3452.8249304012. The cubic root of 11922000 is about 228.4457270148.
Adding to 11922000 its reverse (22911), we get a palindrome (11944911).
The spelling of 11922000 in words is "eleven million, nine hundred twenty-two thousand".
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