Base | Representation |
---|---|
bin | 111011111111000… |
… | …111111110001000 |
3 | 2121010201121000101 |
4 | 323333013332020 |
5 | 4030114402324 |
6 | 243510415144 |
7 | 33640200613 |
oct | 7377077610 |
9 | 2533647011 |
10 | 1006403464 |
11 | 4770a7900 |
12 | 2410614b4 |
13 | 13066ca11 |
14 | 9793717a |
15 | 5d548944 |
hex | 3bfc7f88 |
1006403464 has 48 divisors (see below), whose sum is σ = 2081439360. Its totient is φ = 455848800.
The previous prime is 1006403423. The next prime is 1006403471. The reversal of 1006403464 is 4643046001.
It is a happy number.
It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299377 + ... + 302719.
It is an arithmetic number, because the mean of its divisors is an integer number (43363320).
Almost surely, 21006403464 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 1006403464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040719680).
1006403464 is an abundant number, since it is smaller than the sum of its proper divisors (1075035896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006403464 is a wasteful number, since it uses less digits than its factorization.
1006403464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3682 (or 3667 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 1006403464 is about 31723.8626904102. The cubic root of 1006403464 is about 1002.1299481001.
Adding to 1006403464 its reverse (4643046001), we get a palindrome (5649449465).
The spelling of 1006403464 in words is "one billion, six million, four hundred three thousand, four hundred sixty-four".
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