| Base | Representation |
|---|---|
| bin | 1100001100000… |
| … | …01100000000000 |
| 3 | 21010101110002000 |
| 4 | 12012001200000 |
| 5 | 202133223204 |
| 6 | 14051224000 |
| 7 | 2351021343 |
| oct | 606014000 |
| 9 | 233343060 |
| 10 | 102242304 |
| 11 | 5279317a |
| 12 | 2a2a8000 |
| 13 | 1824a308 |
| 14 | d81645a |
| 15 | 8e99039 |
| hex | 6181800 |
102242304 has 144 divisors (see below), whose sum is σ = 310073400. Its totient is φ = 33288192.
The previous prime is 102242303. The next prime is 102242323. The reversal of 102242304 is 403242201.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102242303) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377707 + ... + 2377749.
Almost surely, 2102242304 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155036700).
102242304 is an abundant number, since it is smaller than the sum of its proper divisors (207831096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102242304 is an frugal number, since it uses more digits than its factorization.
102242304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 102242304 is about 10111.4936582090. The cubic root of 102242304 is about 467.6025554031.
Multiplying 102242304 by its product of nonzero digits (384), we get a square (39261044736 = 1981442).
102242304 divided by its product of nonzero digits (384) gives a square (266256 = 5162).
Adding to 102242304 its reverse (403242201), we get a palindrome (505484505).
The spelling of 102242304 in words is "one hundred two million, two hundred forty-two thousand, three hundred four".
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