Base | Representation |
---|---|
bin | 101111110111101… |
… | …111100101110000 |
3 | 2001222020211201000 |
4 | 233313233211300 |
5 | 3121101021000 |
6 | 211410042000 |
7 | 25621410603 |
oct | 5767574560 |
9 | 2058224630 |
10 | 803142000 |
11 | 382397521 |
12 | 1a4b79300 |
13 | ca51306b |
14 | 7894633a |
15 | 4a798000 |
hex | 2fdef970 |
803142000 has 320 divisors, whose sum is σ = 2924812800. Its totient is φ = 210643200.
The previous prime is 803141993. The next prime is 803142013. The reversal of 803142000 is 241308.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5777931 + ... + 5778069.
It is an arithmetic number, because the mean of its divisors is an integer number (9140040).
Almost surely, 2803142000 is an apocalyptic number.
803142000 is a gapful number since it is divisible by the number (80) 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 803142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).
803142000 is an abundant number, since it is smaller than the sum of its proper divisors (2121670800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
803142000 is a wasteful number, since it uses less digits than its factorization.
803142000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 278 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 803142000 is about 28339.7600554415. The cubic root of 803142000 is about 929.5315018014.
Adding to 803142000 its reverse (241308), we get a palindrome (803383308).
The spelling of 803142000 in words is "eight hundred three million, one hundred forty-two thousand".
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