| Base | Representation |
|---|---|
| bin | 111110101110101… |
| … | …101101100110000 |
| 3 | 2201100100010221102 |
| 4 | 332232231230300 |
| 5 | 4123410330300 |
| 6 | 252233143532 |
| 7 | 35036351240 |
| oct | 7656555460 |
| 9 | 2640303842 |
| 10 | 1052433200 |
| 11 | 4a0086705 |
| 12 | 25455aba8 |
| 13 | 13a067c50 |
| 14 | 9dab9b20 |
| 15 | 625dc0d5 |
| hex | 3ebadb30 |
1052433200 has 240 divisors, whose sum is σ = 3222502080. Its totient is φ = 321269760.
The previous prime is 1052433197. The next prime is 1052433203. The reversal of 1052433200 is 23342501.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1052433197) and next prime (1052433203).
It is a super-2 number, since 2×10524332002 = 2215231280924480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (1052433203) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055102 + ... + 1056098.
It is an arithmetic number, because the mean of its divisors is an integer number (13427092).
Almost surely, 21052433200 is an apocalyptic number.
1052433200 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 1052433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611251040).
1052433200 is an abundant number, since it is smaller than the sum of its proper divisors (2170068880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052433200 is a wasteful number, since it uses less digits than its factorization.
1052433200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 1052433200 is about 32441.2268571952. The cubic root of 1052433200 is about 1017.1808608599.
Adding to 1052433200 its reverse (23342501), we get a palindrome (1075775701).
The spelling of 1052433200 in words is "one billion, fifty-two million, four hundred thirty-three thousand, two hundred".
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