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66936660 = 22357197809
BaseRepresentation
bin1111111101010…
…1111101010100
311122221201211120
43333111331110
5114113433120
610350403540
71441644420
oct377257524
9148851746
1066936660
113486955a
121a5005b0
1310b383bb
148c65b80
155d23140
hex3fd5f54

66936660 has 96 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 15203328.

The previous prime is 66936659. The next prime is 66936671. The reversal of 66936660 is 6663966.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82336 + ... + 83144.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 266936660 is an apocalyptic number.

66936660 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 66936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

66936660 is an abundant number, since it is smaller than the sum of its proper divisors (148614060).

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

66936660 is a wasteful number, since it uses less digits than its factorization.

66936660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 66936660 is about 8181.4827506999. The cubic root of 66936660 is about 406.0267804089.

The spelling of 66936660 in words is "sixty-six million, nine hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 809 985 1182 1379 1618 1970 2364 2427 2758 2955 3236 3940 4045 4137 4854 5516 5663 5910 6895 8090 8274 9708 11326 11820 12135 13790 16180 16548 16989 20685 22652 24270 27580 28315 33978 41370 48540 56630 67956 82740 84945 113260 159373 169890 318746 339780 478119 637492 796865 956238 1115611 1593730 1912476 2231222 2390595 3187460 3346833 4462444 4781190 5578055 6693666 9562380 11156110 13387332 16734165 22312220 33468330 66936660