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66727992 = 23317413989
BaseRepresentation
bin1111111010001…
…1000000111000
311122120010121010
43332203000320
5114040243432
610342113520
71440115152
oct376430070
9148503533
1066727992
1134736801
121a41b8a0
1310a94426
148c0dad2
155cd13cc
hex3fa3038

66727992 has 64 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 20418560.

The previous prime is 66727987. The next prime is 66727993. The reversal of 66727992 is 29972766.

66727992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66727993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14734 + ... + 18722.

Almost surely, 266727992 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 66727992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

66727992 is an abundant number, since it is smaller than the sum of its proper divisors (114258408).

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

66727992 is a wasteful number, since it uses less digits than its factorization.

66727992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4052 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 66727992 is about 8168.7203404205. The cubic root of 66727992 is about 405.6044259561.

The spelling of 66727992 in words is "sixty-six million, seven hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 3989 4182 5576 7978 8364 11967 15956 16728 23934 31912 47868 67813 95736 135626 163549 203439 271252 327098 406878 490647 542504 654196 813756 981294 1308392 1627512 1962588 2780333 3925176 5560666 8340999 11121332 16681998 22242664 33363996 66727992