Base | Representation |
---|---|
bin | 100111011111… |
… | …100110010000 |
3 | 201110222200221 |
4 | 213133212100 |
5 | 10122244130 |
6 | 1005522424 |
7 | 153666535 |
oct | 47374620 |
9 | 21428627 |
10 | 10353040 |
11 | 5931435 |
12 | 3573414 |
13 | 21b6479 |
14 | 1536d8c |
15 | d9787a |
hex | 9df990 |
10353040 has 40 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 4104576.
The previous prime is 10353023. The next prime is 10353053. The reversal of 10353040 is 4035301.
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9651 + ... + 10669.
It is an arithmetic number, because the mean of its divisors is an integer number (607104).
Almost surely, 210353040 is an apocalyptic number.
10353040 is a gapful number since it is divisible by the number (10) 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 10353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).
10353040 is an abundant number, since it is smaller than the sum of its proper divisors (13931120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10353040 is a wasteful number, since it uses less digits than its factorization.
10353040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 10353040 is about 3217.6140228436. The cubic root of 10353040 is about 217.9495436351.
Adding to 10353040 its reverse (4035301), we get a palindrome (14388341).
The spelling of 10353040 in words is "ten million, three hundred fifty-three thousand, forty".
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