Base | Representation |
---|---|
bin | 111100111110110… |
… | …101000100000000 |
3 | 2122022011000210022 |
4 | 330332311010000 |
5 | 4043403300412 |
6 | 245304353012 |
7 | 34232143154 |
oct | 7476650400 |
9 | 2568130708 |
10 | 1023103232 |
11 | 485573668 |
12 | 246775768 |
13 | 133c68c38 |
14 | 99c43064 |
15 | 5ec46a72 |
hex | 3cfb5100 |
1023103232 has 36 divisors (see below), whose sum is σ = 2063313756. Its totient is φ = 506265600.
The previous prime is 1023103219. The next prime is 1023103253. The reversal of 1023103232 is 2323013201.
It can be written as a sum of positive squares in 2 ways, for example, as 681001216 + 342102016 = 26096^2 + 18496^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 1023103232.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4232 + ... + 45432.
It is an arithmetic number, because the mean of its divisors is an integer number (57314271).
Almost surely, 21023103232 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 1023103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031656878).
1023103232 is an abundant number, since it is smaller than the sum of its proper divisors (1040210524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023103232 is an frugal number, since it uses more digits than its factorization.
1023103232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41314 (or 41300 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 1023103232 is about 31985.9849309037. The cubic root of 1023103232 is about 1007.6425204199.
Adding to 1023103232 its reverse (2323013201), we get a palindrome (3346116433).
The spelling of 1023103232 in words is "one billion, twenty-three million, one hundred three thousand, two hundred thirty-two".
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