| Base | Representation |
|---|---|
| bin | 1100001101100… |
| … | …10101111100000 |
| 3 | 21010202200202020 |
| 4 | 12012302233200 |
| 5 | 202211202000 |
| 6 | 14055421440 |
| 7 | 2352521361 |
| oct | 606625740 |
| 9 | 233680666 |
| 10 | 102444000 |
| 11 | 5291076a |
| 12 | 2a384880 |
| 13 | 182bb069 |
| 14 | d869b68 |
| 15 | 8ed8ba0 |
| hex | 61b2be0 |
102444000 has 96 divisors (see below), whose sum is σ = 335645856. Its totient is φ = 27315200.
The previous prime is 102443993. The next prime is 102444007. The reversal of 102444000 is 444201.
It is an interprime number because it is at equal distance from previous prime (102443993) and next prime (102444007).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102444007) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 7732 + ... + 16268.
It is an arithmetic number, because the mean of its divisors is an integer number (3496311).
Almost surely, 2102444000 is an apocalyptic number.
102444000 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 102444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167822928).
102444000 is an abundant number, since it is smaller than the sum of its proper divisors (233201856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102444000 is an equidigital number, since it uses as much as digits as its factorization.
102444000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8565 (or 8547 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
The square root of 102444000 is about 10121.4623449381. The cubic root of 102444000 is about 467.9098372586.
Adding to 102444000 its reverse (444201), we get a palindrome (102888201).
The spelling of 102444000 in words is "one hundred two million, four hundred forty-four thousand".
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