Base | Representation |
---|---|
bin | 100101001011000… |
… | …1100011001000000 |
3 | 10012221002000200221 |
4 | 1022112030121000 |
5 | 10023304110104 |
6 | 323434352424 |
7 | 42624101110 |
oct | 11226143100 |
9 | 3187060627 |
10 | 1247331904 |
11 | 5900a4a15 |
12 | 2a988b714 |
13 | 16b557320 |
14 | bb931040 |
15 | 74789c54 |
hex | 4a58c640 |
1247331904 has 112 divisors (see below), whose sum is σ = 3097190656. Its totient is φ = 485222400.
The previous prime is 1247331881. The next prime is 1247331907. The reversal of 1247331904 is 4091337421.
It is a tau number, because it is divible by the number of its divisors (112).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1247331904 = 3983 + 10583 = 8363 + 8723.
It is a self number, because there is not a number n which added to its sum of digits gives 1247331904.
It is not an unprimeable number, because it can be changed into a prime (1247331907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353509 + ... + 357019.
It is an arithmetic number, because the mean of its divisors is an integer number (27653488).
Almost surely, 21247331904 is an apocalyptic number.
1247331904 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 1247331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548595328).
1247331904 is an abundant number, since it is smaller than the sum of its proper divisors (1849858752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1247331904 is a wasteful number, since it uses less digits than its factorization.
1247331904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3604 (or 3594 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 34.
The square root of 1247331904 is about 35317.5863274941. The cubic root of 1247331904 is about 1076.4503672476.
The spelling of 1247331904 in words is "one billion, two hundred forty-seven million, three hundred thirty-one thousand, nine hundred four".
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