Base | Representation |
---|---|
bin | 1100001100110… |
… | …00001100000000 |
3 | 21010120011112210 |
4 | 12012120030000 |
5 | 202144211412 |
6 | 14053222120 |
7 | 2351556306 |
oct | 606301400 |
9 | 233504483 |
10 | 102335232 |
11 | 52846a7a |
12 | 2a331940 |
13 | 182806bc |
14 | d83c276 |
15 | 8eb683c |
hex | 6198300 |
102335232 has 72 divisors (see below), whose sum is σ = 274026816. Its totient is φ = 33903616.
The previous prime is 102335201. The next prime is 102335239. The reversal of 102335232 is 232533201.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 102335199 and 102335208.
It is not an unprimeable number, because it can be changed into a prime (102335239) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174043 + ... + 174629.
It is an arithmetic number, because the mean of its divisors is an integer number (3805928).
Almost surely, 2102335232 is an apocalyptic number.
102335232 is a gapful number since it is divisible by the number (12) 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 102335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137013408).
102335232 is an abundant number, since it is smaller than the sum of its proper divisors (171691584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102335232 is an equidigital number, since it uses as much as digits as its factorization.
102335232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 833 (or 819 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 21.
The square root of 102335232 is about 10116.0877813510. The cubic root of 102335232 is about 467.7441804458.
Adding to 102335232 its reverse (232533201), we get a palindrome (334868433).
The spelling of 102335232 in words is "one hundred two million, three hundred thirty-five thousand, two hundred thirty-two".
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