| Base | Representation |
|---|---|
| bin | 10011000100110… |
| … | …000001101000000 |
| 3 | 211022011100110210 |
| 4 | 103010300031000 |
| 5 | 1123410404440 |
| 6 | 51430554120 |
| 7 | 10634031600 |
| oct | 2304601500 |
| 9 | 738140423 |
| 10 | 320013120 |
| 11 | 154703659 |
| 12 | 8b208940 |
| 13 | 513b719b |
| 14 | 30702c00 |
| 15 | 1d163a80 |
| hex | 13130340 |
320013120 has 168 divisors, whose sum is σ = 1182099744. Its totient is φ = 73135104.
The previous prime is 320013101. The next prime is 320013131. The reversal of 320013120 is 21310023.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (168).
It is a Harshad number since it is a multiple of its sum of digits (12).
320013120 is a modest number, since divided by 13120 gives 3200 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 320013096 and 320013105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43639 + ... + 50441.
It is an arithmetic number, because the mean of its divisors is an integer number (7036308).
Almost surely, 2320013120 is an apocalyptic number.
320013120 is a gapful number since it is divisible by the number (30) 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 320013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591049872).
320013120 is an abundant number, since it is smaller than the sum of its proper divisors (862086624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320013120 is a wasteful number, since it uses less digits than its factorization.
320013120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6837 (or 6820 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 320013120 is about 17888.9105313879. The cubic root of 320013120 is about 683.9997264114. Note that the first 3 decimals are identical.
Adding to 320013120 its reverse (21310023), we get a palindrome (341323143).
The spelling of 320013120 in words is "three hundred twenty million, thirteen thousand, one hundred twenty".
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