Search a number
-
+
66541376 = 2611313049
BaseRepresentation
bin1111110111010…
…1011101000000
311122012122121102
43331311131000
5114013311001
610334113532
71435410116
oct375653500
9148178542
1066541376
1134619580
121a34b8a8
1310a2a4c5
148ba1ab6
155c95e6b
hex3f75740

66541376 has 56 divisors (see below), whose sum is σ = 148742400. Its totient is φ = 29260800.

The previous prime is 66541357. The next prime is 66541379. The reversal of 66541376 is 67314566.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66541379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20300 + ... + 23348.

Almost surely, 266541376 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 66541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74371200).

66541376 is an abundant number, since it is smaller than the sum of its proper divisors (82201024).

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

66541376 is a wasteful number, since it uses less digits than its factorization.

66541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 66541376 is about 8157.2897459879. The cubic root of 66541376 is about 405.2259593628.

The spelling of 66541376 in words is "sixty-six million, five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 3049 5456 6098 10912 12196 21824 24392 33539 48784 67078 94519 97568 134156 189038 195136 268312 378076 536624 756152 1039709 1073248 1512304 2079418 2146496 3024608 4158836 6049216 8317672 16635344 33270688 66541376