Base | Representation |
---|---|
bin | 11111001101100000100 |
3 | 1220221220200 |
4 | 3321230010 |
5 | 230211344 |
6 | 33530500 |
7 | 11456463 |
oct | 3715404 |
9 | 1827820 |
10 | 1022724 |
11 | 63942a |
12 | 413a30 |
13 | 29a681 |
14 | 1c89da |
15 | 153069 |
hex | f9b04 |
1022724 has 18 divisors (see below), whose sum is σ = 2585310. Its totient is φ = 340896.
The previous prime is 1022719. The next prime is 1022729. The reversal of 1022724 is 4272201.
1022724 = T167 + T168 + ... + T220.
1022724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1022719) and next prime (1022729).
It can be written as a sum of positive squares in only one way, i.e., 921600 + 101124 = 960^2 + 318^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1022697 and 1022706.
It is not an unprimeable number, because it can be changed into a prime (1022729) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14169 + ... + 14240.
21022724 is an apocalyptic number.
It is an amenable number.
1022724 is an abundant number, since it is smaller than the sum of its proper divisors (1562586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022724 is a wasteful number, since it uses less digits than its factorization.
1022724 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28419 (or 28414 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 1022724 is about 1011.2981756139. The cubic root of 1022724 is about 100.7518004633.
Adding to 1022724 its reverse (4272201), we get a palindrome (5294925).
The spelling of 1022724 in words is "one million, twenty-two thousand, seven hundred twenty-four".
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