Base | Representation |
---|---|
bin | 100110001111… |
… | …000011000000 |
3 | 200212020010002 |
4 | 212033003000 |
5 | 10031214404 |
6 | 554455132 |
7 | 151123610 |
oct | 46170300 |
9 | 20766102 |
10 | 10023104 |
11 | 5726563 |
12 | 34344a8 |
13 | 20cc240 |
14 | 148ca40 |
15 | d2ec1e |
hex | 98f0c0 |
10023104 has 56 divisors (see below), whose sum is σ = 24493728. Its totient is φ = 3962880.
The previous prime is 10023103. The next prime is 10023109. The reversal of 10023104 is 40132001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-2 number, since 2×100231042 = 200925227589632, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10023103) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4964 + ... + 6684.
It is an arithmetic number, because the mean of its divisors is an integer number (437388).
Almost surely, 210023104 is an apocalyptic number.
10023104 is a gapful number since it is divisible by the number (14) 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 10023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246864).
10023104 is an abundant number, since it is smaller than the sum of its proper divisors (14470624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023104 is a wasteful number, since it uses less digits than its factorization.
10023104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1753 (or 1743 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 10023104 is about 3165.9286157461. The cubic root of 10023104 is about 215.6092615832.
Adding to 10023104 its reverse (40132001), we get a palindrome (50155105).
It can be divided in two parts, 100 and 23104, that multiplied together give a square (2310400 = 15202).
The spelling of 10023104 in words is "ten million, twenty-three thousand, one hundred four".
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