| Base | Representation |
|---|---|
| bin | 101000000011… |
| … | …100110111100 |
| 3 | 201202111000220 |
| 4 | 220003212330 |
| 5 | 10142004130 |
| 6 | 1013021340 |
| 7 | 155152551 |
| oct | 50034674 |
| 9 | 21674026 |
| 10 | 10500540 |
| 11 | 5a22236 |
| 12 | 3624850 |
| 13 | 223864b |
| 14 | 1574a28 |
| 15 | dc6410 |
| hex | a039bc |
10500540 has 96 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 2592000.
The previous prime is 10500533. The next prime is 10500547. The reversal of 10500540 is 4500501.
It is an interprime number because it is at equal distance from previous prime (10500533) and next prime (10500547).
It is a super-2 number, since 2×105005402 = 220522680583200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a nialpdrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10500547) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 69465 + ... + 69615.
It is an arithmetic number, because the mean of its divisors is an integer number (329840).
Almost surely, 210500540 is an apocalyptic number.
10500540 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 10500540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).
10500540 is an abundant number, since it is smaller than the sum of its proper divisors (21164100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10500540 is a wasteful number, since it uses less digits than its factorization.
10500540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 243 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 15.
The square root of 10500540 is about 3240.4536719416. The cubic root of 10500540 is about 218.9797108036.
The spelling of 10500540 in words is "ten million, five hundred thousand, five hundred forty".
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