Base | Representation |
---|---|
bin | 11111001101000100100 |
3 | 1220221121101 |
4 | 3321220210 |
5 | 230210000 |
6 | 33525444 |
7 | 11456023 |
oct | 3715044 |
9 | 1827541 |
10 | 1022500 |
11 | 639246 |
12 | 413884 |
13 | 29a53b |
14 | 1c88ba |
15 | 152e6a |
hex | f9a24 |
1022500 has 30 divisors (see below), whose sum is σ = 2241470. Its totient is φ = 408000.
The previous prime is 1022491. The next prime is 1022501. The reversal of 1022500 is 52201.
1022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 179776 + 842724 = 424^2 + 918^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1022501) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2296 + ... + 2704.
21022500 is an apocalyptic number.
1022500 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 1022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120735).
1022500 is an abundant number, since it is smaller than the sum of its proper divisors (1218970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022500 is an equidigital number, since it uses as much as digits as its factorization.
1022500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 433 (or 416 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 10.
The square root of 1022500 is about 1011.1874208078. The cubic root of 1022500 is about 100.7444442749.
Adding to 1022500 its reverse (52201), we get a palindrome (1074701).
Subtracting from 1022500 its reverse (52201), we obtain a cube (970299 = 993).
The spelling of 1022500 in words is "one million, twenty-two thousand, five hundred".
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