Search a number
-
+
66714102 = 2327133241
BaseRepresentation
bin1111111001111…
…1100111110110
311122112102112200
43332133213312
5114034322402
610341525330
71440026520
oct376374766
9148472480
1066714102
1134727324
121a413846
1310a8b000
148c08a10
155ccc21c
hex3f9f9f6

66714102 has 96 divisors (see below), whose sum is σ = 179699520. Its totient is φ = 17521920.

The previous prime is 66714101. The next prime is 66714127. The reversal of 66714102 is 20141766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66714101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276702 + ... + 276942.

It is an arithmetic number, because the mean of its divisors is an integer number (1871870).

Almost surely, 266714102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66714102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89849760).

66714102 is an abundant number, since it is smaller than the sum of its proper divisors (112985418).

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

66714102 is a wasteful number, since it uses less digits than its factorization.

66714102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66714102 is about 8167.8701018074. The cubic root of 66714102 is about 405.5762806642.

Adding to 66714102 its reverse (20141766), we get a palindrome (86855868).

The spelling of 66714102 in words is "sixty-six million, seven hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 241 273 338 482 507 546 723 819 1014 1183 1446 1521 1638 1687 2169 2197 2366 3042 3133 3374 3549 4338 4394 5061 6266 6591 7098 9399 10122 10647 13182 15183 15379 18798 19773 21294 21931 28197 30366 30758 39546 40729 43862 46137 56394 65793 81458 92274 122187 131586 138411 197379 244374 276822 285103 366561 394758 529477 570206 733122 855309 1058954 1588431 1710618 2565927 3176862 3706339 4765293 5131854 7412678 9530586 11119017 22238034 33357051 66714102