| Base | Representation |
|---|---|
| bin | 1110111010011100… |
| … | …11101101111000000 |
| 3 | 202122222200112221000 |
| 4 | 13131032131233000 |
| 5 | 112344132230330 |
| 6 | 3402251332000 |
| 7 | 402260221050 |
| oct | 73516355700 |
| 9 | 22588615830 |
| 10 | 8006523840 |
| 11 | 3439523957 |
| 12 | 1675451000 |
| 13 | 9a79b8693 |
| 14 | 55d4c5560 |
| 15 | 31cd88560 |
| hex | 1dd39dbc0 |
8006523840 has 224 divisors, whose sum is σ = 32280514560. Its totient is φ = 1830048768.
The previous prime is 8006523839. The next prime is 8006523883. The reversal of 8006523840 is 483256008.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 8006523795 and 8006523804.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5712 + ... + 126671.
It is an arithmetic number, because the mean of its divisors is an integer number (144109440).
Almost surely, 28006523840 is an apocalyptic number.
8006523840 is a gapful number since it is divisible by the number (80) 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 8006523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140257280).
8006523840 is an abundant number, since it is smaller than the sum of its proper divisors (24273990720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8006523840 is a wasteful number, since it uses less digits than its factorization.
8006523840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132416 (or 132400 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 8006523840 is about 89479.1810422961. The cubic root of 8006523840 is about 2000.5435056208.
Adding to 8006523840 its reverse (483256008), we get a palindrome (8489779848).
The spelling of 8006523840 in words is "eight billion, six million, five hundred twenty-three thousand, eight hundred forty".
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