| Base | Representation |
|---|---|
| bin | 111011111010010… |
| … | …100000010111000 |
| 3 | 2121001100111212220 |
| 4 | 323322110002320 |
| 5 | 4024304022300 |
| 6 | 243423404040 |
| 7 | 33623365506 |
| oct | 7372240270 |
| 9 | 2531314786 |
| 10 | 1005142200 |
| 11 | 476416237 |
| 12 | 240753620 |
| 13 | 13031a8ca |
| 14 | 976c9676 |
| 15 | 5d399da0 |
| hex | 3be940b8 |
1005142200 has 96 divisors (see below), whose sum is σ = 3188486400. Its totient is φ = 261797760.
The previous prime is 1005142181. The next prime is 1005142207. The reversal of 1005142200 is 22415001.
1005142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1005142200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1005142207) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321 + ... + 45279.
It is an arithmetic number, because the mean of its divisors is an integer number (33213400).
Almost surely, 21005142200 is an apocalyptic number.
1005142200 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 1005142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594243200).
1005142200 is an abundant number, since it is smaller than the sum of its proper divisors (2183344200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1005142200 is a wasteful number, since it uses less digits than its factorization.
1005142200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39021 (or 39012 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 1005142200 is about 31703.9776684251. The cubic root of 1005142200 is about 1001.7111370067.
Adding to 1005142200 its reverse (22415001), we get a palindrome (1027557201).
The spelling of 1005142200 in words is "one billion, five million, one hundred forty-two thousand, two hundred".
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