Search a number
-
+
66109302 = 23274167191
BaseRepresentation
bin1111110000101…
…1111101110110
311121101200220200
43330023331312
5113410444202
610320541330
71431630330
oct374137566
9147350820
1066109302
1134353996
121a181846
131090893c
148acc450
155c0ce1c
hex3f0bf76

66109302 has 96 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 18057600.

The previous prime is 66109301. The next prime is 66109313. The reversal of 66109302 is 20390166.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66109301) 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, 346027 + ... + 346217.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 266109302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66109302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912).

66109302 is an abundant number, since it is smaller than the sum of its proper divisors (104976522).

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

66109302 is a wasteful number, since it uses less digits than its factorization.

66109302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66109302 is about 8130.7626948522. The cubic root of 66109302 is about 404.3469677190.

Adding to 66109302 its reverse (20390166), we get a palindrome (86499468).

The spelling of 66109302 in words is "sixty-six million, one hundred nine thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 67 82 123 126 134 191 201 246 287 369 382 402 469 573 574 603 738 861 938 1146 1206 1337 1407 1719 1722 2583 2674 2747 2814 3438 4011 4221 5166 5494 7831 8022 8241 8442 12033 12797 15662 16482 19229 23493 24066 24723 25594 38391 38458 46986 49446 54817 57687 70479 76782 89579 109634 115173 115374 140958 164451 173061 179158 230346 268737 328902 346122 493353 524677 537474 806211 986706 1049354 1574031 1612422 3148062 3672739 4722093 7345478 9444186 11018217 22036434 33054651 66109302