| Base | Representation |
|---|---|
| bin | 1011111010111100… |
| … | …10001111010000000 |
| 3 | 121112000211120122200 |
| 4 | 11331132101322000 |
| 5 | 101101403310320 |
| 6 | 2535023233200 |
| 7 | 314412405123 |
| oct | 57536217200 |
| 9 | 17460746580 |
| 10 | 6400056960 |
| 11 | 2794735580 |
| 12 | 12a7448800 |
| 13 | 7acc2a26b |
| 14 | 449dca3ba |
| 15 | 276d0d290 |
| hex | 17d791e80 |
6400056960 has 384 divisors, whose sum is σ = 24419828160. Its totient is φ = 1531576320.
The previous prime is 6400056953. The next prime is 6400056967. The reversal of 6400056960 is 696500046.
It is a happy number.
6400056960 is a `hidden beast` number, since 640 + 0 + 0 + 5 + 6 + 9 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (6400056953) and next prime (6400056967).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (6400056967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5258272 + ... + 5259488.
Almost surely, 26400056960 is an apocalyptic number.
6400056960 is a gapful number since it is divisible by the number (60) 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 6400056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209914080).
6400056960 is an abundant number, since it is smaller than the sum of its proper divisors (18019771200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6400056960 is a wasteful number, since it uses less digits than its factorization.
6400056960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1336 (or 1321 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 6400056960 is about 80000.3559992079. The cubic root of 6400056960 is about 1856.6410414475.
The spelling of 6400056960 in words is "six billion, four hundred million, fifty-six thousand, nine hundred sixty".
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