Base | Representation |
---|---|
bin | 100110001110… |
… | …110001110100 |
3 | 200212011121100 |
4 | 212032301310 |
5 | 10031201004 |
6 | 554450100 |
7 | 151120446 |
oct | 46166164 |
9 | 20764540 |
10 | 10022004 |
11 | 5725753 |
12 | 3433930 |
13 | 20cb8a5 |
14 | 148c496 |
15 | d2e739 |
hex | 98ec74 |
10022004 has 36 divisors (see below), whose sum is σ = 25500384. Its totient is φ = 3318672.
The previous prime is 10021969. The next prime is 10022009. The reversal of 10022004 is 40022001.
10022004 is nontrivially palindromic in base 8.
10022004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022009) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5179 + ... + 6845.
It is an arithmetic number, because the mean of its divisors is an integer number (708344).
Almost surely, 210022004 is an apocalyptic number.
It is an amenable number.
10022004 is an abundant number, since it is smaller than the sum of its proper divisors (15478380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022004 is a wasteful number, since it uses less digits than its factorization.
10022004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1844 (or 1839 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 10022004 is about 3165.7548862791. The cubic root of 10022004 is about 215.6013738449.
Adding to 10022004 its reverse (40022001), we get a palindrome (50044005).
The spelling of 10022004 in words is "ten million, twenty-two thousand, four".
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