Base | Representation |
---|---|
bin | 111011110010001… |
… | …001001001010100 |
3 | 2120220022200220010 |
4 | 323302021021110 |
5 | 4023232003104 |
6 | 243305440220 |
7 | 33566235300 |
oct | 7362111124 |
9 | 2526280803 |
10 | 1003000404 |
11 | 47519305a |
12 | 23baa0070 |
13 | 12ca4aa83 |
14 | 972ccd00 |
15 | 5d0c5489 |
hex | 3bc89254 |
1003000404 has 72 divisors (see below), whose sum is σ = 2749027008. Its totient is φ = 283772160.
The previous prime is 1003000373. The next prime is 1003000423. The reversal of 1003000404 is 4040003001.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 1003000404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52284 + ... + 68844.
Almost surely, 21003000404 is an apocalyptic number.
1003000404 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 1003000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374513504).
1003000404 is an abundant number, since it is smaller than the sum of its proper divisors (1746026604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003000404 is a wasteful number, since it uses less digits than its factorization.
1003000404 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16685 (or 16676 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 1003000404 is about 31670.1816224663. The cubic root of 1003000404 is about 1000.9991360613. Note that the first 3 decimals are identical.
Adding to 1003000404 its reverse (4040003001), we get a palindrome (5043003405).
The spelling of 1003000404 in words is "one billion, three million, four hundred four", and thus it is an aban number.
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