Search a number
-
+
66668364 = 22327614337
BaseRepresentation
bin1111111001010…
…0011101001100
311122110002210200
43332110131030
5114031341424
610340533500
71436446260
oct376243514
9148402720
1066668364
11346a5a24
121a3b1290
1310a73249
148bd60a0
155cbd8c9
hex3f9474c

66668364 has 72 divisors (see below), whose sum is σ = 195799968. Its totient is φ = 18731520.

The previous prime is 66668363. The next prime is 66668429. The reversal of 66668364 is 46386666.

It is not an unprimeable number, because it can be changed into a prime (66668363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13204 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (2719444).

Almost surely, 266668364 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 66668364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97899984).

66668364 is an abundant number, since it is smaller than the sum of its proper divisors (129131604).

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

66668364 is a wasteful number, since it uses less digits than its factorization.

66668364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4410 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 66668364 is about 8165.0697486304. The cubic root of 66668364 is about 405.4835741838.

The spelling of 66668364 in words is "sixty-six million, six hundred sixty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 4337 5124 7686 8674 13011 15372 17348 26022 30359 39033 52044 60718 78066 91077 121436 156132 182154 264557 273231 364308 529114 546462 793671 1058228 1092924 1587342 1851899 2381013 3174684 3703798 4762026 5555697 7407596 9524052 11111394 16667091 22222788 33334182 66668364