| Base | Representation |
|---|---|
| bin | 11110000110101… |
| … | …11010001100000 |
| 3 | 122121012100202100 |
| 4 | 33003113101200 |
| 5 | 1004122240000 |
| 6 | 41020450400 |
| 7 | 6154361136 |
| oct | 1703272140 |
| 9 | 577170670 |
| 10 | 252540000 |
| 11 | 11a609049 |
| 12 | 706a9a00 |
| 13 | 4042186b |
| 14 | 2577b756 |
| 15 | 17286a00 |
| hex | f0d7460 |
252540000 has 360 divisors, whose sum is σ = 951782832. Its totient is φ = 63360000.
The previous prime is 252539983. The next prime is 252540017. The reversal of 252540000 is 45252.
252540000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (252539983) and next prime (252540017).
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139970 + ... + 4140030.
Almost surely, 2252540000 is an apocalyptic number.
252540000 is a gapful number since it is divisible by the number (20) 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 252540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475891416).
252540000 is an abundant number, since it is smaller than the sum of its proper divisors (699242832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252540000 is a wasteful number, since it uses less digits than its factorization.
252540000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 18.
The square root of 252540000 is about 15891.5071657788. The cubic root of 252540000 is about 632.0868064282.
Adding to 252540000 its reverse (45252), we get a palindrome (252585252).
The spelling of 252540000 in words is "two hundred fifty-two million, five hundred forty thousand".
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