| Base | Representation |
|---|---|
| bin | 101000101111… |
| … | …011100111000 |
| 3 | 202002121101000 |
| 4 | 220233130320 |
| 5 | 10213230440 |
| 6 | 1020525000 |
| 7 | 156531243 |
| oct | 50573470 |
| 9 | 22077330 |
| 10 | 10680120 |
| 11 | 6035150 |
| 12 | 36b0760 |
| 13 | 229c2c9 |
| 14 | 15c025a |
| 15 | e0e730 |
| hex | a2f738 |
10680120 has 256 divisors, whose sum is σ = 41472000. Its totient is φ = 2419200.
The previous prime is 10680101. The next prime is 10680127. The reversal of 10680120 is 2108601.
It is a super-2 number, since 2×106801202 = 228129926428800, which contains 22 as substring.
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 = 10680093 and 10680102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10680127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344505 + ... + 344535.
It is an arithmetic number, because the mean of its divisors is an integer number (162000).
Almost surely, 210680120 is an apocalyptic number.
10680120 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 10680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).
10680120 is an abundant number, since it is smaller than the sum of its proper divisors (30791880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10680120 is a wasteful number, since it uses less digits than its factorization.
10680120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 10680120 is about 3268.0452873239. The cubic root of 10680120 is about 220.2209900623.
Adding to 10680120 its reverse (2108601), we get a palindrome (12788721).
The spelling of 10680120 in words is "ten million, six hundred eighty thousand, one hundred twenty".
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