| Base | Representation |
|---|---|
| bin | 11000101010011… |
| … | …000101111010000 |
| 3 | 1001211120102021100 |
| 4 | 120222120233100 |
| 5 | 1321410431220 |
| 6 | 105020224400 |
| 7 | 13152640446 |
| oct | 3052305720 |
| 9 | 1054512240 |
| 10 | 413764560 |
| 11 | 1a2617490 |
| 12 | b669b100 |
| 13 | 67950801 |
| 14 | 3cd48b96 |
| 15 | 264d1d90 |
| hex | 18a98bd0 |
413764560 has 240 divisors, whose sum is σ = 1535526720. Its totient is φ = 99010560.
The previous prime is 413764433. The next prime is 413764591. The reversal of 413764560 is 65467314.
It is a happy number.
413764560 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 645 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×4137645602 = 342402222223987200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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, 704587 + ... + 705173.
It is an arithmetic number, because the mean of its divisors is an integer number (6398028).
Almost surely, 2413764560 is an apocalyptic number.
413764560 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 413764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).
413764560 is an abundant number, since it is smaller than the sum of its proper divisors (1121762160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413764560 is a wasteful number, since it uses less digits than its factorization.
413764560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 706 (or 697 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 413764560 is about 20341.2035042177. The cubic root of 413764560 is about 745.1626808680.
The spelling of 413764560 in words is "four hundred thirteen million, seven hundred sixty-four thousand, five hundred sixty".
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