| Base | Representation |
|---|---|
| bin | 11000101011001… |
| … | …101101001100000 |
| 3 | 1001211222102120000 |
| 4 | 120223031221200 |
| 5 | 1321434400110 |
| 6 | 105025020000 |
| 7 | 13154532336 |
| oct | 3053155140 |
| 9 | 1054872500 |
| 10 | 413981280 |
| 11 | 1a2755299 |
| 12 | b6784600 |
| 13 | 679c834b |
| 14 | 3cda3b56 |
| 15 | 265261c0 |
| hex | 18acda60 |
413981280 has 240 divisors, whose sum is σ = 1547773920. Its totient is φ = 103845888.
The previous prime is 413981273. The next prime is 413981287. The reversal of 413981280 is 82189314.
It is an interprime number because it is at equal distance from previous prime (413981273) and next prime (413981287).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (413981287) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 219381 + ... + 221259.
It is an arithmetic number, because the mean of its divisors is an integer number (6449058).
Almost surely, 2413981280 is an apocalyptic number.
413981280 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 413981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773886960).
413981280 is an abundant number, since it is smaller than the sum of its proper divisors (1133792640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413981280 is a wasteful number, since it uses less digits than its factorization.
413981280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1923 (or 1906 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 413981280 is about 20346.5299252723. The cubic root of 413981280 is about 745.2927576354.
The spelling of 413981280 in words is "four hundred thirteen million, nine hundred eighty-one thousand, two hundred eighty".
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