Base | Representation |
---|---|
bin | 1111110101000… |
… | …1000110001100 |
3 | 11121221002100000 |
4 | 3331101012030 |
5 | 113444024320 |
6 | 10331004300 |
7 | 1434220011 |
oct | 375210614 |
9 | 147832300 |
10 | 66392460 |
11 | 34527702 |
12 | 1a299690 |
13 | 109a77a4 |
14 | 8b63708 |
15 | 5c66c90 |
hex | 3f5118c |
66392460 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 16749504.
The previous prime is 66392453. The next prime is 66392519. The reversal of 66392460 is 6429366.
66392460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91981 + ... + 92699.
It is an arithmetic number, because the mean of its divisors is an integer number (1528800).
Almost surely, 266392460 is an apocalyptic number.
66392460 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 66392460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).
66392460 is an abundant number, since it is smaller than the sum of its proper divisors (153754740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66392460 is a wasteful number, since it uses less digits than its factorization.
66392460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 762 (or 748 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 66392460 is about 8148.1568467967. The cubic root of 66392460 is about 404.9234423192.
The spelling of 66392460 in words is "sixty-six million, three hundred ninety-two thousand, four hundred sixty".
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