| Base | Representation |
|---|---|
| bin | 100001010001000… |
| … | …1010011101100000 |
| 3 | 2212210102110212200 |
| 4 | 1002202022131200 |
| 5 | 4241230031000 |
| 6 | 302433053200 |
| 7 | 36442662003 |
| oct | 10242123540 |
| 9 | 2783373780 |
| 10 | 1116252000 |
| 11 | 523105716 |
| 12 | 2719b7200 |
| 13 | 14a351156 |
| 14 | a836d53a |
| 15 | 67ee6500 |
| hex | 4288a760 |
1116252000 has 288 divisors, whose sum is σ = 4013833824. Its totient is φ = 293760000.
The previous prime is 1116251971. The next prime is 1116252023. The reversal of 1116252000 is 2526111.
It is a tau number, because it is divible by the number of its divisors (288).
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 (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3635847 + ... + 3636153.
It is an arithmetic number, because the mean of its divisors is an integer number (13936923).
Almost surely, 21116252000 is an apocalyptic number.
1116252000 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 1116252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006916912).
1116252000 is an abundant number, since it is smaller than the sum of its proper divisors (2897581824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1116252000 is a wasteful number, since it uses less digits than its factorization.
1116252000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 439 (or 418 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 1116252000 is about 33410.3576754275. The cubic root of 1116252000 is about 1037.3391050638.
Adding to 1116252000 its reverse (2526111), we get a palindrome (1118778111).
It can be divided in two parts, 1116 and 252000, that added together give a triangular number (253116 = T711).
The spelling of 1116252000 in words is "one billion, one hundred sixteen million, two hundred fifty-two thousand".
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