Base | Representation |
---|---|
bin | 101000111110… |
… | …1101100110000 |
3 | 1111102121210000 |
4 | 1101331230300 |
5 | 21000031014 |
6 | 2044310000 |
7 | 350426343 |
oct | 121755460 |
9 | 44377700 |
10 | 21486384 |
11 | 11146047 |
12 | 7242300 |
13 | 45b3b4a |
14 | 2bd445a |
15 | 1d46509 |
hex | 147db30 |
21486384 has 100 divisors (see below), whose sum is σ = 63466920. Its totient is φ = 7015680.
The previous prime is 21486371. The next prime is 21486389. The reversal of 21486384 is 48368412.
21486384 is a `hidden beast` number, since 2 + 14 + 8 + 638 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (21486389) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76324 + ... + 76604.
Almost surely, 221486384 is an apocalyptic number.
21486384 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 21486384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31733460).
21486384 is an abundant number, since it is smaller than the sum of its proper divisors (41980536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21486384 is a wasteful number, since it uses less digits than its factorization.
21486384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360 (or 345 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 21486384 is about 4635.3407641726. The cubic root of 21486384 is about 278.0061762167.
The spelling of 21486384 in words is "twenty-one million, four hundred eighty-six thousand, three hundred eighty-four".
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