Base | Representation |
---|---|
bin | 111011110110011… |
… | …010100101010100 |
3 | 2120222102121020121 |
4 | 323312122211110 |
5 | 4024023323104 |
6 | 243345441324 |
7 | 33611611510 |
oct | 7366324524 |
9 | 2528377217 |
10 | 1004120404 |
11 | 475888581 |
12 | 240340244 |
13 | 1300507b1 |
14 | 97501140 |
15 | 5d247254 |
hex | 3bd9a954 |
1004120404 has 48 divisors (see below), whose sum is σ = 2060142336. Its totient is φ = 419328000.
The previous prime is 1004120363. The next prime is 1004120443. The reversal of 1004120404 is 4040214001.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221844 + ... + 226324.
It is an arithmetic number, because the mean of its divisors is an integer number (42919632).
Almost surely, 21004120404 is an apocalyptic number.
1004120404 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 1004120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030071168).
1004120404 is an abundant number, since it is smaller than the sum of its proper divisors (1056021932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004120404 is a wasteful number, since it uses less digits than its factorization.
1004120404 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4696 (or 4694 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 1004120404 is about 31687.8589368231. The cubic root of 1004120404 is about 1001.3715858920.
Adding to 1004120404 its reverse (4040214001), we get a palindrome (5044334405).
The spelling of 1004120404 in words is "one billion, four million, one hundred twenty thousand, four hundred four".
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