Base | Representation |
---|---|
bin | 11111001100010101000 |
3 | 1220221002022 |
4 | 3321202220 |
5 | 230201440 |
6 | 33524012 |
7 | 11454641 |
oct | 3714250 |
9 | 1827068 |
10 | 1022120 |
11 | 638a30 |
12 | 413608 |
13 | 29a308 |
14 | 1c86c8 |
15 | 152cb5 |
hex | f98a8 |
1022120 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 352000.
The previous prime is 1022113. The next prime is 1022123. The reversal of 1022120 is 212201.
Added to its reverse (212201) it gives a square (1234321 = 11112).
1022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 10112-1.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 1022098 and 1022107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022123) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10070 + ... + 10170.
It is an arithmetic number, because the mean of its divisors is an integer number (41310).
21022120 is an apocalyptic number.
1022120 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 1022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).
1022120 is an abundant number, since it is smaller than the sum of its proper divisors (1621720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022120 is a wasteful number, since it uses less digits than its factorization.
1022120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 1022120 is about 1010.9995054400. Note that the first 3 decimals coincide. The cubic root of 1022120 is about 100.7319625692.
Adding to 1022120 its reverse (212201), we get a palindrome (1234321).
It can be divided in two parts, 102 and 2120, that added together give a palindrome (2222).
The spelling of 1022120 in words is "one million, twenty-two thousand, one hundred twenty".
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