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66063984 = 2437972027
BaseRepresentation
bin1111110000000…
…0111001110000
311121022101202020
43330000321300
5113403021414
610315551440
71431351240
oct374007160
9147271666
1066063984
1134322938
121a15b580
13108c111c
148ab9b20
155bee7a9
hex3f00e70

66063984 has 80 divisors (see below), whose sum is σ = 197154048. Its totient is φ = 18671616.

The previous prime is 66063983. The next prime is 66064043. The reversal of 66063984 is 48936066.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66063983) 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, 31579 + ... + 33605.

Almost surely, 266063984 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 66063984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

66063984 is an abundant number, since it is smaller than the sum of its proper divisors (131090064).

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

66063984 is a wasteful number, since it uses less digits than its factorization.

66063984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 66063984 is about 8127.9753936635. The cubic root of 66063984 is about 404.2545531671.

The spelling of 66063984 in words is "sixty-six million, sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2027 2037 2328 2716 4054 4074 4656 5432 6081 8108 8148 10864 12162 14189 16216 16296 24324 28378 32432 32592 42567 48648 56756 85134 97296 113512 170268 196619 227024 340536 393238 589857 681072 786476 1179714 1376333 1572952 2359428 2752666 3145904 4128999 4718856 5505332 8257998 9437712 11010664 16515996 22021328 33031992 66063984