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66482560 = 275731423
BaseRepresentation
bin1111110110011…
…1000110000000
311122002122221001
43331213012000
5114004420220
610332541344
71435043464
oct375470600
9148078831
1066482560
1134589371
121a321854
1310a097c1
148b884a4
155c8380a
hex3f67180

66482560 has 64 divisors (see below), whose sum is σ = 161225280. Its totient is φ = 26210304.

The previous prime is 66482551. The next prime is 66482573. The reversal of 66482560 is 6528466.

66482560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 46009 + ... + 47431.

It is an arithmetic number, because the mean of its divisors is an integer number (2519145).

Almost surely, 266482560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80612640).

66482560 is an abundant number, since it is smaller than the sum of its proper divisors (94742720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66482560 is a wasteful number, since it uses less digits than its factorization.

66482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 66482560 is about 8153.6838300243. The cubic root of 66482560 is about 405.1065309352.

The spelling of 66482560 in words is "sixty-six million, four hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1423 1460 2336 2846 2920 4672 5692 5840 7115 9344 11384 11680 14230 22768 23360 28460 45536 46720 56920 91072 103879 113840 182144 207758 227680 415516 455360 519395 831032 910720 1038790 1662064 2077580 3324128 4155160 6648256 8310320 13296512 16620640 33241280 66482560