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66398160 = 24351914561
BaseRepresentation
bin1111110101001…
…0011111010000
311121221101011010
43331102133100
5113444220120
610331050520
71434242433
oct375223720
9147841133
1066398160
1134530a14
121a2a0a40
13109aa26a
148b6581a
155c687e0
hex3f527d0

66398160 has 80 divisors (see below), whose sum is σ = 216682560. Its totient is φ = 16773120.

The previous prime is 66398153. The next prime is 66398161. The reversal of 66398160 is 6189366.

It is a happy number.

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 (66398161) 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, 2721 + ... + 11840.

It is an arithmetic number, because the mean of its divisors is an integer number (2708532).

Almost surely, 266398160 is an apocalyptic number.

66398160 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 66398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108341280).

66398160 is an abundant number, since it is smaller than the sum of its proper divisors (150284400).

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

66398160 is a wasteful number, since it uses less digits than its factorization.

66398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14590 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 66398160 is about 8148.5066116436. The cubic root of 66398160 is about 404.9350299683.

The spelling of 66398160 in words is "sixty-six million, three hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 14561 29122 43683 58244 72805 87366 116488 145610 174732 218415 232976 276659 291220 349464 436830 553318 582440 698928 829977 873660 1106636 1164880 1383295 1659954 1747320 2213272 2766590 3319908 3494640 4149885 4426544 5533180 6639816 8299770 11066360 13279632 16599540 22132720 33199080 66398160