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66682680 = 23354312923
BaseRepresentation
bin1111111001011…
…1111100111000
311122110211102220
43332113330320
5114032321210
610341124040
71436536101
oct376277470
9148424386
1066682680
1134705759
121a3b9620
1310a7990c
148bdb3a8
155cc2c70
hex3f97f38

66682680 has 64 divisors (see below), whose sum is σ = 204716160. Its totient is φ = 17367168.

The previous prime is 66682669. The next prime is 66682697. The reversal of 66682680 is 8628666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (3198690).

Almost surely, 266682680 is an apocalyptic number.

66682680 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 66682680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102358080).

66682680 is an abundant number, since it is smaller than the sum of its proper divisors (138033480).

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

66682680 is a wasteful number, since it uses less digits than its factorization.

66682680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 66682680 is about 8165.9463627923. The cubic root of 66682680 is about 405.5125958818.

The spelling of 66682680 in words is "sixty-six million, six hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 12923 25846 38769 51692 64615 77538 103384 129230 155076 193845 258460 310152 387690 516920 555689 775380 1111378 1550760 1667067 2222756 2778445 3334134 4445512 5556890 6668268 8335335 11113780 13336536 16670670 22227560 33341340 66682680