Base | Representation |
---|---|
bin | 111100111110100… |
… | …011100001101000 |
3 | 2122022000101020212 |
4 | 330332203201220 |
5 | 4043344001100 |
6 | 245303040252 |
7 | 34231423556 |
oct | 7476434150 |
9 | 2568011225 |
10 | 1023031400 |
11 | 4855246a6 |
12 | 246740088 |
13 | 133c42331 |
14 | 99c24bd6 |
15 | 5ec30635 |
hex | 3cfa3868 |
1023031400 has 48 divisors (see below), whose sum is σ = 2396766240. Its totient is φ = 406078400.
The previous prime is 1023031393. The next prime is 1023031411. The reversal of 1023031400 is 41303201.
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, 6677 + ... + 45723.
It is an arithmetic number, because the mean of its divisors is an integer number (49932630).
Almost surely, 21023031400 is an apocalyptic number.
1023031400 is a gapful number since it is divisible by the number (10) 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 1023031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198383120).
1023031400 is an abundant number, since it is smaller than the sum of its proper divisors (1373734840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023031400 is a wasteful number, since it uses less digits than its factorization.
1023031400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39194 (or 39185 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 1023031400 is about 31984.8620444109. The cubic root of 1023031400 is about 1007.6189376998.
Adding to 1023031400 its reverse (41303201), we get a palindrome (1064334601).
The spelling of 1023031400 in words is "one billion, twenty-three million, thirty-one thousand, four hundred".
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