Base | Representation |
---|---|
bin | 1100001101011… |
… | …01011000000000 |
3 | 21010201120121000 |
4 | 12012231120000 |
5 | 202210001031 |
6 | 14055132000 |
7 | 2352400314 |
oct | 606553000 |
9 | 233646530 |
10 | 102422016 |
11 | 528a61a4 |
12 | 2a374000 |
13 | 182b1058 |
14 | d861b44 |
15 | 8ed23e6 |
hex | 61ad600 |
102422016 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 32901120.
The previous prime is 102422003. The next prime is 102422017. The reversal of 102422016 is 610224201.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 102422016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102422017) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428425 + ... + 428663.
It is an arithmetic number, because the mean of its divisors is an integer number (1964160).
Almost surely, 2102422016 is an apocalyptic number.
102422016 is a gapful number since it is divisible by the number (16) 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 102422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).
102422016 is an abundant number, since it is smaller than the sum of its proper divisors (211843584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102422016 is an equidigital number, since it uses as much as digits as its factorization.
102422016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 297 (or 275 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 102422016 is about 10120.3762775897. The cubic root of 102422016 is about 467.8763644482.
Adding to 102422016 its reverse (610224201), we get a palindrome (712646217).
The spelling of 102422016 in words is "one hundred two million, four hundred twenty-two thousand, sixteen".
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