| Base | Representation |
|---|---|
| bin | 10001111000100… |
| … | …11001111110000 |
| 3 | 101110022001212220 |
| 4 | 20330103033300 |
| 5 | 301401301300 |
| 6 | 22515321040 |
| 7 | 3501123153 |
| oct | 1074231760 |
| 9 | 343261786 |
| 10 | 150025200 |
| 11 | 7775a176 |
| 12 | 422b0180 |
| 13 | 2510a510 |
| 14 | 15cd3c9a |
| 15 | d286da0 |
| hex | 8f133f0 |
150025200 has 240 divisors, whose sum is σ = 529549440. Its totient is φ = 36080640.
The previous prime is 150025199. The next prime is 150025217. The reversal of 150025200 is 2520051.
150025200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
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 150025200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920319 + ... + 920481.
It is an arithmetic number, because the mean of its divisors is an integer number (2206456).
Almost surely, 2150025200 is an apocalyptic number.
150025200 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 150025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264774720).
150025200 is an abundant number, since it is smaller than the sum of its proper divisors (379524240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150025200 is a wasteful number, since it uses less digits than its factorization.
150025200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 256 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 15.
The square root of 150025200 is about 12248.4774564025. The cubic root of 150025200 is about 531.3590373651.
Adding to 150025200 its reverse (2520051), we get a palindrome (152545251).
It can be divided in two parts, 15002 and 5200, that added together give a palindrome (20202).
The spelling of 150025200 in words is "one hundred fifty million, twenty-five thousand, two hundred".
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