| Base | Representation |
|---|---|
| bin | 1111110011000… |
| … | …0001011101000 |
| 3 | 11121200020101200 |
| 4 | 3330300023220 |
| 5 | 113430221030 |
| 6 | 10324044200 |
| 7 | 1433115651 |
| oct | 374601350 |
| 9 | 147606350 |
| 10 | 66257640 |
| 11 | 34445389 |
| 12 | 1a233660 |
| 13 | 1095b307 |
| 14 | 8b2a528 |
| 15 | 5c3bd60 |
| hex | 3f302e8 |
66257640 has 144 divisors (see below), whose sum is σ = 223930980. Its totient is φ = 16980480.
The previous prime is 66257593. The next prime is 66257657. The reversal of 66257640 is 4675266.
66257640 is a `hidden beast` number, since 6 + 6 + 2 + 5 + 7 + 640 = 666.
66257640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 58339044 + 7918596 = 7638^2 + 2814^2 .
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 = 66257595 and 66257604.
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 35 ways as a sum of consecutive naturals, for example, 988887 + ... + 988953.
Almost surely, 266257640 is an apocalyptic number.
66257640 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 66257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111965490).
66257640 is an abundant number, since it is smaller than the sum of its proper divisors (157673340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66257640 is a wasteful number, since it uses less digits than its factorization.
66257640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 192 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 66257640 is about 8139.8796059893. The cubic root of 66257640 is about 404.6491703485.
The spelling of 66257640 in words is "sixty-six million, two hundred fifty-seven thousand, six hundred forty".
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