| Base | Representation |
|---|---|
| bin | 11000101000001… |
| … | …111110001000000 |
| 3 | 1001210111220200002 |
| 4 | 120220033301000 |
| 5 | 1321240003040 |
| 6 | 105000215132 |
| 7 | 13145112662 |
| oct | 3050176100 |
| 9 | 1053456602 |
| 10 | 413203520 |
| 11 | 1a2273a14 |
| 12 | b646a4a8 |
| 13 | 677b5332 |
| 14 | 3cc40532 |
| 15 | 26420a15 |
| hex | 18a0fc40 |
413203520 has 56 divisors (see below), whose sum is σ = 986427288. Its totient is φ = 164864000.
The previous prime is 413203499. The next prime is 413203561. The reversal of 413203520 is 25302314.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 390773824 = 4736^2 + 19768^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 413203492 and 413203501.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 146120 + ... + 148920.
It is an arithmetic number, because the mean of its divisors is an integer number (17614773).
Almost surely, 2413203520 is an apocalyptic number.
413203520 is a gapful number since it is divisible by the number (40) 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 413203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493213644).
413203520 is an abundant number, since it is smaller than the sum of its proper divisors (573223768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413203520 is a wasteful number, since it uses less digits than its factorization.
413203520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3279 (or 3269 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 413203520 is about 20327.4080984271. The cubic root of 413203520 is about 744.8257298489.
Adding to 413203520 its reverse (25302314), we get a palindrome (438505834).
The spelling of 413203520 in words is "four hundred thirteen million, two hundred three thousand, five hundred twenty".
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