| Base | Representation |
|---|---|
| bin | 101101100111000… |
| … | …111010011010000 |
| 3 | 1222022220121210200 |
| 4 | 231213013103100 |
| 5 | 3031344300430 |
| 6 | 203533255200 |
| 7 | 24651222060 |
| oct | 5547072320 |
| 9 | 1868817720 |
| 10 | 765228240 |
| 11 | 362a51337 |
| 12 | 194334500 |
| 13 | c26c9c9a |
| 14 | 738b73a0 |
| 15 | 472a9460 |
| hex | 2d9c74d0 |
765228240 has 240 divisors, whose sum is σ = 2959632000. Its totient is φ = 173564928.
The previous prime is 765228229. The next prime is 765228241. The reversal of 765228240 is 42822567.
765228240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 765228195 and 765228204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (765228241) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750451 + ... + 751469.
It is an arithmetic number, because the mean of its divisors is an integer number (12331800).
Almost surely, 2765228240 is an apocalyptic number.
765228240 is a gapful number since it is divisible by the number (70) 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 765228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).
765228240 is an abundant number, since it is smaller than the sum of its proper divisors (2194403760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
765228240 is a wasteful number, since it uses less digits than its factorization.
765228240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1194 (or 1185 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 765228240 is about 27662.7590814799. The cubic root of 765228240 is about 914.6683739548.
The spelling of 765228240 in words is "seven hundred sixty-five million, two hundred twenty-eight thousand, two hundred forty".
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