Base | Representation |
---|---|
bin | 100110011110… |
… | …000000000000 |
3 | 200222100010112 |
4 | 212132000000 |
5 | 10040144402 |
6 | 1000050452 |
7 | 151500305 |
oct | 46360000 |
9 | 20870115 |
10 | 10084352 |
11 | 5768583 |
12 | 3463a28 |
13 | 2121095 |
14 | 14a70ac |
15 | d42e52 |
hex | 99e000 |
10084352 has 28 divisors (see below), whose sum is σ = 20183856. Its totient is φ = 5038080.
The previous prime is 10084351. The next prime is 10084357. The reversal of 10084352 is 25348001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10084351) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7577 + ... + 8807.
It is an arithmetic number, because the mean of its divisors is an integer number (720852).
Almost surely, 210084352 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 10084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091928).
10084352 is an abundant number, since it is smaller than the sum of its proper divisors (10099504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10084352 is an frugal number, since it uses more digits than its factorization.
10084352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1257 (or 1233 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 23.
The square root of 10084352 is about 3175.5868748942. The cubic root of 10084352 is about 216.0475432612.
The spelling of 10084352 in words is "ten million, eighty-four thousand, three hundred fifty-two".
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