Base | Representation |
---|---|
bin | 100101001101000100000 |
3 | 2021221022000 |
4 | 10221220200 |
5 | 303002404 |
6 | 42044000 |
7 | 13235145 |
oct | 4515040 |
9 | 2257260 |
10 | 1219104 |
11 | 762a27 |
12 | 4a9600 |
13 | 338b83 |
14 | 23a3cc |
15 | 191339 |
hex | 129a20 |
1219104 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 377856.
The previous prime is 1219091. The next prime is 1219109. The reversal of 1219104 is 4019121.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1219109) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 14647 + ... + 14729.
It is an arithmetic number, because the mean of its divisors is an integer number (39690).
21219104 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 1219104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).
1219104 is an abundant number, since it is smaller than the sum of its proper divisors (2591136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1219104 is a wasteful number, since it uses less digits than its factorization.
1219104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 105 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 1219104 is about 1104.1304270783. The cubic root of 1219104 is about 106.8268080664.
The spelling of 1219104 in words is "one million, two hundred nineteen thousand, one hundred four".
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