Base | Representation |
---|---|
bin | 101001100111… |
… | …1111010000000 |
3 | 1112001201200010 |
4 | 1103033322000 |
5 | 21041314404 |
6 | 2055424520 |
7 | 353331132 |
oct | 123177200 |
9 | 45051603 |
10 | 21823104 |
11 | 11356026 |
12 | 7385140 |
13 | 46a11a4 |
14 | 2c81052 |
15 | 1db1189 |
hex | 14cfe80 |
21823104 has 64 divisors (see below), whose sum is σ = 61395840. Its totient is φ = 6844416.
The previous prime is 21823103. The next prime is 21823117. The reversal of 21823104 is 40132812.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (21823103) 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, 4857 + ... + 8199.
It is an arithmetic number, because the mean of its divisors is an integer number (959310).
Almost surely, 221823104 is an apocalyptic number.
21823104 is a gapful number since it is divisible by the number (24) 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 21823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30697920).
21823104 is an abundant number, since it is smaller than the sum of its proper divisors (39572736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21823104 is a wasteful number, since it uses less digits than its factorization.
21823104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3377 (or 3365 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 21823104 is about 4671.5205233414. The cubic root of 21823104 is about 279.4508966556.
Adding to 21823104 its reverse (40132812), we get a palindrome (61955916).
The spelling of 21823104 in words is "twenty-one million, eight hundred twenty-three thousand, one hundred four".
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