Base | Representation |
---|---|
bin | 100110001111… |
… | …000011010000 |
3 | 200212020010200 |
4 | 212033003100 |
5 | 10031214440 |
6 | 554455200 |
7 | 151123632 |
oct | 46170320 |
9 | 20766120 |
10 | 10023120 |
11 | 5726578 |
12 | 3434500 |
13 | 20cc253 |
14 | 148ca52 |
15 | d2ec30 |
hex | 98f0d0 |
10023120 has 60 divisors (see below), whose sum is σ = 33663396. Its totient is φ = 2672640.
The previous prime is 10023113. The next prime is 10023161. The reversal of 10023120 is 2132001.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 5253264 = 2184^2 + 2292^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6241 + ... + 7680.
Almost surely, 210023120 is an apocalyptic number.
10023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10023120 is an abundant number, since it is smaller than the sum of its proper divisors (23640276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023120 is a wasteful number, since it uses less digits than its factorization.
10023120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13940 (or 13931 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 10023120 is about 3165.9311426498. The cubic root of 10023120 is about 215.6093763097.
Adding to 10023120 its reverse (2132001), we get a palindrome (12155121).
It can be divided in two parts, 100 and 23120, that added together give a triangular number (23220 = T215).
The spelling of 10023120 in words is "ten million, twenty-three thousand, one hundred twenty".
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