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66750024 = 2331117107139
BaseRepresentation
bin1111111010100…
…0011001001000
311122121020211010
43332220121020
5114042000044
610342403520
71440236325
oct376503110
9148536733
1066750024
1134751310
121a4305a0
1310aa1473
148c17b4c
155cd7bb9
hex3fa8648

66750024 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 18723840.

The previous prime is 66750017. The next prime is 66750029. The reversal of 66750024 is 42005766.

66750024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66749973 and 66750000.

It is not an unprimeable number, because it can be changed into a prime (66750029) 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 31 ways as a sum of consecutive naturals, for example, 480147 + ... + 480285.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 266750024 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 66750024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

66750024 is an abundant number, since it is smaller than the sum of its proper divisors (129205176).

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

66750024 is a wasteful number, since it uses less digits than its factorization.

66750024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 66750024 is about 8170.0687879601. The cubic root of 66750024 is about 405.6490613638.

The spelling of 66750024 in words is "sixty-six million, seven hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 107 132 136 139 187 204 214 264 278 321 374 408 417 428 556 561 642 748 834 856 1112 1122 1177 1284 1496 1529 1668 1819 2244 2354 2363 2568 3058 3336 3531 3638 4488 4587 4708 4726 5457 6116 7062 7089 7276 9174 9416 9452 10914 12232 14124 14178 14552 14873 18348 18904 20009 21828 25993 28248 28356 29746 36696 40018 43656 44619 51986 56712 59492 60027 77979 80036 89238 103972 118984 120054 155958 160072 163603 178476 207944 240108 252841 311916 327206 356952 480216 490809 505682 623832 654412 758523 981618 1011364 1308824 1517046 1963236 2022728 2781251 3034092 3926472 5562502 6068184 8343753 11125004 16687506 22250008 33375012 66750024