Base | Representation |
---|---|
bin | 100100001100… |
… | …0010100100000 |
3 | 1022200222102011 |
4 | 1020120110200 |
5 | 14324131414 |
6 | 1514402304 |
7 | 320163511 |
oct | 110302440 |
9 | 38628364 |
10 | 18973984 |
11 | a78a487 |
12 | 6430394 |
13 | 3c14413 |
14 | 273ca08 |
15 | 19ebdc4 |
hex | 1218520 |
18973984 has 36 divisors (see below), whose sum is σ = 38661462. Its totient is φ = 9166080.
The previous prime is 18973979. The next prime is 18974009. The reversal of 18973984 is 48937981.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 18835600 + 138384 = 4340^2 + 372^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30444 + ... + 31060.
Almost surely, 218973984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330731).
18973984 is an abundant number, since it is smaller than the sum of its proper divisors (19687478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18973984 is an equidigital number, since it uses as much as digits as its factorization.
18973984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689 (or 650 counting only the distinct ones).
The product of its digits is 435456, while the sum is 49.
The square root of 18973984 is about 4355.9136814221. The cubic root of 18973984 is about 266.7183177727.
The spelling of 18973984 in words is "eighteen million, nine hundred seventy-three thousand, nine hundred eighty-four".
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