Search a number
-
+
66966780 = 22351577109
BaseRepresentation
bin1111111101110…
…1010011111100
311200000021011010
43333131103330
5114120414110
610351155220
71442131266
oct377352374
9150007133
1066966780
113488a151
121a515b10
1310b4901a
148c72b36
155d2c020
hex3fdd4fc

66966780 has 48 divisors (see below), whose sum is σ = 188727840. Its totient is φ = 17741568.

The previous prime is 66966761. The next prime is 66966787. The reversal of 66966780 is 8766966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66966787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5866 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (3931830).

Almost surely, 266966780 is an apocalyptic number.

66966780 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 66966780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94363920).

66966780 is an abundant number, since it is smaller than the sum of its proper divisors (121761060).

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

66966780 is a wasteful number, since it uses less digits than its factorization.

66966780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 66966780 is about 8183.3232858051. The cubic root of 66966780 is about 406.0876722667.

The spelling of 66966780 in words is "sixty-six million, nine hundred sixty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 7109 9420 14218 21327 28436 35545 42654 71090 85308 106635 142180 213270 426540 1116113 2232226 3348339 4464452 5580565 6696678 11161130 13393356 16741695 22322260 33483390 66966780