Base | Representation |
---|---|
bin | 111101000000100… |
… | …001101111110001 |
3 | 2122022222122110001 |
4 | 331000201233301 |
5 | 4044012022101 |
6 | 245322110001 |
7 | 34236006061 |
oct | 7500415761 |
9 | 2568878401 |
10 | 1023548401 |
11 | 485848077 |
12 | 24694b301 |
13 | 134093755 |
14 | 99d1b3a1 |
15 | 5ecd3901 |
hex | 3d021bf1 |
1023548401 has 8 divisors (see below), whose sum is σ = 1028313000. Its totient is φ = 1018792320.
The previous prime is 1023548381. The next prime is 1023548413. The reversal of 1023548401 is 1048453201.
1023548401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 213861376 + 809687025 = 14624^2 + 28455^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 1023548401 - 213 = 1023540209 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 1023548401.
It is not an unprimeable number, because it can be changed into a prime (1023548431) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400275 + ... + 402823.
It is an arithmetic number, because the mean of its divisors is an integer number (128539125).
Almost surely, 21023548401 is an apocalyptic number.
It is an amenable number.
1023548401 is a deficient number, since it is larger than the sum of its proper divisors (4764599).
1023548401 is a wasteful number, since it uses less digits than its factorization.
1023548401 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4259.
The product of its (nonzero) digits is 3840, while the sum is 28.
The square root of 1023548401 is about 31992.9429874777. The cubic root of 1023548401 is about 1007.7886464916.
The spelling of 1023548401 in words is "one billion, twenty-three million, five hundred forty-eight thousand, four hundred one".
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