| Base | Representation |
|---|---|
| bin | 101000001000… |
| … | …100000000100 |
| 3 | 201210111112010 |
| 4 | 220020200010 |
| 5 | 10143124310 |
| 6 | 1013254220 |
| 7 | 155265150 |
| oct | 50104004 |
| 9 | 21714463 |
| 10 | 10520580 |
| 11 | 5a362a4 |
| 12 | 3634370 |
| 13 | 22447c5 |
| 14 | 157c060 |
| 15 | dcc320 |
| hex | a08804 |
10520580 has 96 divisors (see below), whose sum is σ = 34626816. Its totient is φ = 2336256.
The previous prime is 10520557. The next prime is 10520581. The reversal of 10520580 is 8502501.
It is a super-3 number, since 3×105205803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nialpdrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (10520581) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15202 + ... + 15878.
It is an arithmetic number, because the mean of its divisors is an integer number (360696).
Almost surely, 210520580 is an apocalyptic number.
10520580 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 10520580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313408).
10520580 is an abundant number, since it is smaller than the sum of its proper divisors (24106236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10520580 is a wasteful number, since it uses less digits than its factorization.
10520580 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 733 (or 731 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 21.
The square root of 10520580 is about 3243.5443576433. The cubic root of 10520580 is about 219.1189279193.
It can be divided in two parts, 105 and 20580, that multiplied together give a square (2160900 = 14702).
The spelling of 10520580 in words is "ten million, five hundred twenty thousand, five hundred eighty".
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