Base | Representation |
---|---|
bin | 100110100111… |
… | …100000111000 |
3 | 201001022120210 |
4 | 212213200320 |
5 | 10042421240 |
6 | 1000551120 |
7 | 152022024 |
oct | 46474070 |
9 | 21038523 |
10 | 10123320 |
11 | 5794889 |
12 | 34824a0 |
13 | 2135a3c |
14 | 14b7384 |
15 | d4e780 |
hex | 9a7838 |
10123320 has 64 divisors (see below), whose sum is σ = 31428000. Its totient is φ = 2605568.
The previous prime is 10123319. The next prime is 10123327. The reversal of 10123320 is 2332101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 10123296 and 10123305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10123327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026 + ... + 4934.
Almost surely, 210123320 is an apocalyptic number.
10123320 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 10123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714000).
10123320 is an abundant number, since it is smaller than the sum of its proper divisors (21304680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123320 is a wasteful number, since it uses less digits than its factorization.
10123320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 10123320 is about 3181.7165178564. The cubic root of 10123320 is about 216.3254695545.
Adding to 10123320 its reverse (2332101), we get a palindrome (12455421).
The spelling of 10123320 in words is "ten million, one hundred twenty-three thousand, three hundred twenty".
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