Base | Representation |
---|---|
bin | 101001101000… |
… | …1101000010000 |
3 | 1112002002100110 |
4 | 1103101220100 |
5 | 21042031120 |
6 | 2055521320 |
7 | 353360532 |
oct | 123215020 |
9 | 45062313 |
10 | 21830160 |
11 | 11360360 |
12 | 7389240 |
13 | 46a4471 |
14 | 2c83852 |
15 | 1db32e0 |
hex | 14d1a10 |
21830160 has 80 divisors (see below), whose sum is σ = 73834560. Its totient is φ = 5291520.
The previous prime is 21830143. The next prime is 21830167. The reversal of 21830160 is 6103812.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21830167) 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, 1495 + ... + 6774.
It is an arithmetic number, because the mean of its divisors is an integer number (922932).
Almost surely, 221830160 is an apocalyptic number.
21830160 is a gapful number since it is divisible by the number (20) 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 21830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36917280).
21830160 is an abundant number, since it is smaller than the sum of its proper divisors (52004400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21830160 is a wasteful number, since it uses less digits than its factorization.
21830160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8296 (or 8290 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 21.
The square root of 21830160 is about 4672.2756767982. The cubic root of 21830160 is about 279.4810114222.
Adding to 21830160 its reverse (6103812), we get a palindrome (27933972).
The spelling of 21830160 in words is "twenty-one million, eight hundred thirty thousand, one hundred sixty".
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