Base | Representation |
---|---|
bin | 100110000000… |
… | …1101110010000 |
3 | 1101111112211011 |
4 | 1030001232100 |
5 | 20100230000 |
6 | 1551100304 |
7 | 331254646 |
oct | 114015620 |
9 | 41445734 |
10 | 19930000 |
11 | 10282782 |
12 | 6811694 |
13 | 418a5cc |
14 | 290b196 |
15 | 1b3a2ba |
hex | 1301b90 |
19930000 has 50 divisors (see below), whose sum is σ = 48276734. Its totient is φ = 7968000.
The previous prime is 19929997. The next prime is 19930007. The reversal of 19930000 is 3991.
It can be written as a sum of positive squares in 5 ways, for example, as 5550736 + 14379264 = 2356^2 + 3792^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is not an unprimeable number, because it can be changed into a prime (19930007) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9004 + ... + 10996.
Almost surely, 219930000 is an apocalyptic number.
19930000 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 19930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24138367).
19930000 is an abundant number, since it is smaller than the sum of its proper divisors (28346734).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19930000 is an equidigital number, since it uses as much as digits as its factorization.
19930000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2021 (or 2000 counting only the distinct ones).
The product of its (nonzero) digits is 243, while the sum is 22.
The square root of 19930000 is about 4464.3028571099. The cubic root of 19930000 is about 271.1247094217.
Adding to 19930000 its reverse (3991), we get a palindrome (19933991).
The spelling of 19930000 in words is "nineteen million, nine hundred thirty thousand".
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