Base | Representation |
---|---|
bin | 1100001101101… |
… | …01001110000000 |
3 | 21010210012122221 |
4 | 12012311032000 |
5 | 202212013034 |
6 | 14055540424 |
7 | 2352563062 |
oct | 606651600 |
9 | 233705587 |
10 | 102454144 |
11 | 52918351 |
12 | 2a38a714 |
13 | 182c2870 |
14 | d86d732 |
15 | 8edbbb4 |
hex | 61b5380 |
102454144 has 64 divisors (see below), whose sum is σ = 229451040. Its totient is φ = 45213696.
The previous prime is 102454127. The next prime is 102454153. The reversal of 102454144 is 441454201.
It is a tau number, because it is divible by the number of its divisors (64).
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 7 ways as a sum of consecutive naturals, for example, 36934 + ... + 39610.
Almost surely, 2102454144 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 102454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114725520).
102454144 is an abundant number, since it is smaller than the sum of its proper divisors (126996896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102454144 is a wasteful number, since it uses less digits than its factorization.
102454144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2727 (or 2715 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 25.
The square root of 102454144 is about 10121.9634458933. The cubic root of 102454144 is about 467.9252808854.
The spelling of 102454144 in words is "one hundred two million, four hundred fifty-four thousand, one hundred forty-four".
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