Search a number
-
+
65666106 = 23311227487
BaseRepresentation
bin1111101001111…
…1110000111010
311120120011222000
43322133300322
5113302303411
610303241430
71425103242
oct372376072
9146504860
1065666106
1134080a10
1219ba9276
13107b1cac
148a14b22
155b71956
hex3e9fc3a

65666106 has 64 divisors (see below), whose sum is σ = 160220160. Its totient is φ = 19770480.

The previous prime is 65666101. The next prime is 65666113. The reversal of 65666106 is 60166656.

It is not an unprimeable number, because it can be changed into a prime (65666101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134595 + ... + 135081.

It is an arithmetic number, because the mean of its divisors is an integer number (2503440).

Almost surely, 265666106 is an apocalyptic number.

65666106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65666106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80110080).

65666106 is an abundant number, since it is smaller than the sum of its proper divisors (94554054).

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

65666106 is a wasteful number, since it uses less digits than its factorization.

65666106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65666106 is about 8103.4625932375. The cubic root of 65666106 is about 403.4413618303.

The spelling of 65666106 in words is "sixty-five million, six hundred sixty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 227 297 454 487 594 681 974 1362 1461 2043 2497 2922 4086 4383 4994 5357 6129 7491 8766 10714 12258 13149 14982 16071 22473 26298 32142 44946 48213 67419 96426 110549 134838 144639 221098 289278 331647 663294 994941 1216039 1989882 2432078 2984823 3648117 5969646 7296234 10944351 21888702 32833053 65666106