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66753390 = 235111773163
BaseRepresentation
bin1111111010100…
…1001101101110
311122121102102210
43332221031232
5114042102030
610342431250
71440252204
oct376511556
9148542383
1066753390
11347538a0
121a432526
1310aa2b62
148c19074
155cd8bb0
hex3fa936e

66753390 has 128 divisors (see below), whose sum is σ = 188739072. Its totient is φ = 14929920.

The previous prime is 66753377. The next prime is 66753391. The reversal of 66753390 is 9335766.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66753391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409449 + ... + 409611.

It is an arithmetic number, because the mean of its divisors is an integer number (1474524).

Almost surely, 266753390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66753390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94369536).

66753390 is an abundant number, since it is smaller than the sum of its proper divisors (121985682).

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

66753390 is a wasteful number, since it uses less digits than its factorization.

66753390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 66753390 is about 8170.2747811809. The cubic root of 66753390 is about 405.6558797972.

The spelling of 66753390 in words is "sixty-six million, seven hundred fifty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 73 85 102 110 146 163 165 170 187 219 255 326 330 365 374 438 489 510 561 730 803 815 935 978 1095 1122 1241 1606 1630 1793 1870 2190 2409 2445 2482 2771 2805 3586 3723 4015 4818 4890 5379 5542 5610 6205 7446 8030 8313 8965 10758 11899 12045 12410 13651 13855 16626 17930 18615 23798 24090 26895 27302 27710 30481 35697 37230 40953 41565 53790 59495 60962 68255 71394 81906 83130 91443 118990 130889 136510 152405 178485 182886 202283 204765 261778 304810 356970 392667 404566 409530 457215 606849 654445 785334 914430 1011415 1213698 1308890 1963335 2022830 2225113 3034245 3926670 4450226 6068490 6675339 11125565 13350678 22251130 33376695 66753390