| Base | Representation |
|---|---|
| bin | 111011001111111… |
| … | …0111001100000000 |
| 3 | 12010112220010010000 |
| 4 | 1312133313030000 |
| 5 | 13032421022000 |
| 6 | 525135040000 |
| 7 | 100160156646 |
| oct | 16637671400 |
| 9 | 5115803100 |
| 10 | 1988064000 |
| 11 | 9302349aa |
| 12 | 475970000 |
| 13 | 258b58540 |
| 14 | 14c06d196 |
| 15 | b9806000 |
| hex | 767f7300 |
1988064000 has 720 divisors, whose sum is σ = 8102334240. Its totient is φ = 481075200.
The previous prime is 1988063989. The next prime is 1988064011. The reversal of 1988064000 is 4608891.
It is a happy number.
1988064000 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 0 + 640 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1988063989) and next prime (1988064011).
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 33695971 + ... + 33696029.
It is an arithmetic number, because the mean of its divisors is an integer number (11253242).
Almost surely, 21988064000 is an apocalyptic number.
1988064000 is a gapful number since it is divisible by the number (10) 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 1988064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051167120).
1988064000 is an abundant number, since it is smaller than the sum of its proper divisors (6114270240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1988064000 is an equidigital number, since it uses as much as digits as its factorization.
1988064000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 1988064000 is about 44587.7113115262. The cubic root of 1988064000 is about 1257.4096442844.
The spelling of 1988064000 in words is "one billion, nine hundred eighty-eight million, sixty-four thousand".
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