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66641360 = 24517192579
BaseRepresentation
bin1111111000110…
…1110111010000
311122101201202112
43332031313100
5114030010420
610340204452
71436304452
oct376156720
9148351675
1066641360
1134687705
121a399728
1310a63b76
148bca2d2
155cb58c5
hex3f8ddd0

66641360 has 80 divisors (see below), whose sum is σ = 172756800. Its totient is φ = 23758848.

The previous prime is 66641317. The next prime is 66641363. The reversal of 66641360 is 6314666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66641363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24551 + ... + 27129.

It is an arithmetic number, because the mean of its divisors is an integer number (2159460).

Almost surely, 266641360 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 66641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86378400).

66641360 is an abundant number, since it is smaller than the sum of its proper divisors (106115440).

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

66641360 is a wasteful number, since it uses less digits than its factorization.

66641360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 66641360 is about 8163.4159516712. The cubic root of 66641360 is about 405.4288197920.

The spelling of 66641360 in words is "sixty-six million, six hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2579 2584 3230 5158 5168 6460 10316 12895 12920 20632 25790 25840 41264 43843 49001 51580 87686 98002 103160 175372 196004 206320 219215 245005 350744 392008 438430 490010 701488 784016 833017 876860 980020 1666034 1753720 1960040 3332068 3507440 3920080 4165085 6664136 8330170 13328272 16660340 33320680 66641360