| Base | Representation |
|---|---|
| bin | 101000001011… |
| … | …000110000000 |
| 3 | 201211001002110 |
| 4 | 220023012000 |
| 5 | 10143444300 |
| 6 | 1013415320 |
| 7 | 155341131 |
| oct | 50130600 |
| 9 | 21731073 |
| 10 | 10531200 |
| 11 | 5a43279 |
| 12 | 363a540 |
| 13 | 22495a4 |
| 14 | 1581c88 |
| 15 | dd0550 |
| hex | a0b180 |
10531200 has 96 divisors (see below), whose sum is σ = 34718760. Its totient is φ = 2805760.
The previous prime is 10531181. The next prime is 10531201. The reversal of 10531200 is 213501.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×105312002 = 221812346880000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10531201) 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 in 11 ways as a sum of consecutive naturals, for example, 9052 + ... + 10148.
Almost surely, 210531200 is an apocalyptic number.
10531200 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 10531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359380).
10531200 is an abundant number, since it is smaller than the sum of its proper divisors (24187560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10531200 is a wasteful number, since it uses less digits than its factorization.
10531200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1124 (or 1107 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 10531200 is about 3245.1810427155. The cubic root of 10531200 is about 219.1926329952.
Adding to 10531200 its reverse (213501), we get a palindrome (10744701).
It can be divided in two parts, 10531 and 200, that added together give a triangular number (10731 = T146).
The spelling of 10531200 in words is "ten million, five hundred thirty-one thousand, two hundred".
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