Search a number
-
+
66111606 = 23311176547
BaseRepresentation
bin1111110000110…
…0100001110110
311121101211002000
43330030201312
5113411032411
610321000130
71431640131
oct374144166
9147354060
1066111606
11343556a0
121a183046
13109099c2
148acd218
155c0d956
hex3f0c876

66111606 has 64 divisors (see below), whose sum is σ = 169724160. Its totient is φ = 18852480.

The previous prime is 66111599. The next prime is 66111631. The reversal of 66111606 is 60611166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 66111606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6825 + ... + 13371.

It is an arithmetic number, because the mean of its divisors is an integer number (2651940).

Almost surely, 266111606 is an apocalyptic number.

66111606 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 66111606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84862080).

66111606 is an abundant number, since it is smaller than the sum of its proper divisors (103612554).

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

66111606 is a wasteful number, since it uses less digits than its factorization.

66111606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 66111606 is about 8130.9043777430. The cubic root of 66111606 is about 404.3516650135.

It can be divided in two parts, 6611160 and 6, that added together give a palindrome (6611166).

The spelling of 66111606 in words is "sixty-six million, one hundred eleven thousand, six hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 6547 10098 13094 19641 39282 58923 72017 111299 117846 144034 176769 216051 222598 333897 353538 432102 648153 667794 1001691 1224289 1296306 1944459 2003382 2448578 3005073 3672867 3888918 6010146 7345734 11018601 22037202 33055803 66111606