Base | Representation |
---|---|
bin | 101000101111… |
… | …100000011100 |
3 | 202002121200110 |
4 | 220233200130 |
5 | 10213232343 |
6 | 1020530020 |
7 | 156532020 |
oct | 50574034 |
9 | 22077613 |
10 | 10680348 |
11 | 6035338 |
12 | 36b0910 |
13 | 229c443 |
14 | 15c0380 |
15 | e0e833 |
hex | a2f81c |
10680348 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2992704.
The previous prime is 10680311. The next prime is 10680353. The reversal of 10680348 is 84308601.
It is a happy number.
It is a super-2 number, since 2×106803482 = 228139666802208, which contains 22 as substring.
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 15 ways as a sum of consecutive naturals, for example, 3253 + ... + 5651.
It is an arithmetic number, because the mean of its divisors is an integer number (604800).
Almost surely, 210680348 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 10680348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).
10680348 is an abundant number, since it is smaller than the sum of its proper divisors (18350052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10680348 is a wasteful number, since it uses less digits than its factorization.
10680348 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2466 (or 2464 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 30.
The square root of 10680348 is about 3268.0801703753. The cubic root of 10680348 is about 220.2225571492. Note that the first 3 decimals are identical.
Adding to 10680348 its reverse (84308601), we get a palindrome (94988949).
The spelling of 10680348 in words is "ten million, six hundred eighty thousand, three hundred forty-eight".
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