| Base | Representation |
|---|---|
| bin | 11110011001011… |
| … | …000011101000000 |
| 3 | 1022112121011122200 |
| 4 | 132121120131000 |
| 5 | 2021023021430 |
| 6 | 122334233200 |
| 7 | 15431450463 |
| oct | 3631303500 |
| 9 | 1275534580 |
| 10 | 509970240 |
| 11 | 24195720a |
| 12 | 122955800 |
| 13 | 81866250 |
| 14 | 4ba2d2da |
| 15 | 2eb87460 |
| hex | 1e658740 |
509970240 has 336 divisors, whose sum is σ = 1932145488. Its totient is φ = 122683392.
The previous prime is 509970221. The next prime is 509970271. The reversal of 509970240 is 42079905.
It can be written as a sum of positive squares in 8 ways, for example, as 16064064 + 493906176 = 4008^2 + 22224^2 .
It is a super-3 number, since 3×5099702403 (a number of 27 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 509970195 and 509970204.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1984192 + ... + 1984448.
It is an arithmetic number, because the mean of its divisors is an integer number (5750433).
Almost surely, 2509970240 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 509970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966072744).
509970240 is an abundant number, since it is smaller than the sum of its proper divisors (1422175248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
509970240 is a wasteful number, since it uses less digits than its factorization.
509970240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 346 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The square root of 509970240 is about 22582.5206741852. The cubic root of 509970240 is about 798.9414332467.
The spelling of 509970240 in words is "five hundred nine million, nine hundred seventy thousand, two hundred forty".
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