| Base | Representation |
|---|---|
| bin | 101100110101000… |
| … | …1110001100100000 |
| 3 | 10212211111022221000 |
| 4 | 1121222032030200 |
| 5 | 11040041143131 |
| 6 | 405133032000 |
| 7 | 52163555400 |
| oct | 13152161440 |
| 9 | 3784438830 |
| 10 | 1504240416 |
| 11 | 7021170a8 |
| 12 | 35b925600 |
| 13 | 1ac8483b3 |
| 14 | 103ac8800 |
| 15 | 8c0d5ce6 |
| hex | 59a8e320 |
1504240416 has 144 divisors (see below), whose sum is σ = 5103816480. Its totient is φ = 429770880.
The previous prime is 1504240399. The next prime is 1504240421. The reversal of 1504240416 is 6140424051.
1504240416 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 240 + 416 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 1504240416.
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 23 ways as a sum of consecutive naturals, for example, 24571 + ... + 60101.
It is an arithmetic number, because the mean of its divisors is an integer number (35443170).
Almost surely, 21504240416 is an apocalyptic number.
1504240416 is a gapful number since it is divisible by the number (16) 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 1504240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551908240).
1504240416 is an abundant number, since it is smaller than the sum of its proper divisors (3599576064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1504240416 is a wasteful number, since it uses less digits than its factorization.
1504240416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35564 (or 35543 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 1504240416 is about 38784.5383626001. The cubic root of 1504240416 is about 1145.7919087097.
Adding to 1504240416 its reverse (6140424051), we get a palindrome (7644664467).
The spelling of 1504240416 in words is "one billion, five hundred four million, two hundred forty thousand, four hundred sixteen".
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