Base | Representation |
---|---|
bin | 111101100100… |
… | …011011100000 |
3 | 1010100222220210 |
4 | 331210123200 |
5 | 13112440000 |
6 | 1333534120 |
7 | 254121252 |
oct | 75443340 |
9 | 33328823 |
10 | 16140000 |
11 | 9124248 |
12 | 54a4340 |
13 | 34614c6 |
14 | 2201cd2 |
15 | 163c350 |
hex | f646e0 |
16140000 has 120 divisors (see below), whose sum is σ = 53139240. Its totient is φ = 4288000.
The previous prime is 16139993. The next prime is 16140001. The reversal of 16140000 is 4161.
16140000 is digitally balanced in base 2 and base 4, because in such bases 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 (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16140001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59866 + ... + 60134.
It is an arithmetic number, because the mean of its divisors is an integer number (442827).
Almost surely, 216140000 is an apocalyptic number.
16140000 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 16140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569620).
16140000 is an abundant number, since it is smaller than the sum of its proper divisors (36999240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16140000 is an equidigital number, since it uses as much as digits as its factorization.
16140000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 16140000 is about 4017.4618853201. The cubic root of 16140000 is about 252.7170306690.
Adding to 16140000 its reverse (4161), we get a palindrome (16144161).
The spelling of 16140000 in words is "sixteen million, one hundred forty thousand".
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