Base | Representation |
---|---|
bin | 100110001000… |
… | …0010111100000 |
3 | 1101121121002210 |
4 | 1030100113200 |
5 | 20104134414 |
6 | 1552242120 |
7 | 331624560 |
oct | 114202740 |
9 | 41547083 |
10 | 19989984 |
11 | 10313853 |
12 | 6840340 |
13 | 41ab9c1 |
14 | 2924da0 |
15 | 1b4ce59 |
hex | 13105e0 |
19989984 has 96 divisors (see below), whose sum is σ = 60673536. Its totient is φ = 5644800.
The previous prime is 19989973. The next prime is 19989997. The reversal of 19989984 is 48998991.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101374 + ... + 101570.
It is an arithmetic number, because the mean of its divisors is an integer number (632016).
Almost surely, 219989984 is an apocalyptic number.
19989984 is a gapful number since it is divisible by the number (14) 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 19989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768).
19989984 is an abundant number, since it is smaller than the sum of its proper divisors (40683552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19989984 is a wasteful number, since it uses less digits than its factorization.
19989984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 368 (or 360 counting only the distinct ones).
The product of its digits is 1679616, while the sum is 57.
The square root of 19989984 is about 4471.0159919195. The cubic root of 19989984 is about 271.3964414151.
The spelling of 19989984 in words is "nineteen million, nine hundred eighty-nine thousand, nine hundred eighty-four".
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