Search a number
-
+
66713382 = 2344361157
BaseRepresentation
bin1111111001111…
…1011100100110
311122112101120000
43332133130212
5114034312012
610341522130
71440024441
oct376373446
9148471500
1066713382
113472682a
121a413346
1310a8a898
148c08658
155ccbddc
hex3f9f726

66713382 has 80 divisors (see below), whose sum is σ = 156461712. Its totient is φ = 21228480.

The previous prime is 66713371. The next prime is 66713401. The reversal of 66713382 is 28331766.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424848 + ... + 425004.

Almost surely, 266713382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66713382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78230856).

66713382 is an abundant number, since it is smaller than the sum of its proper divisors (89748330).

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

66713382 is a wasteful number, since it uses less digits than its factorization.

66713382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66713382 is about 8167.8260265508. The cubic root of 66713382 is about 405.5748216225.

The spelling of 66713382 in words is "sixty-six million, seven hundred thirteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 43 54 61 81 86 122 129 157 162 183 258 314 366 387 471 549 774 942 1098 1161 1413 1647 2322 2623 2826 3294 3483 4239 4941 5246 6751 6966 7869 8478 9577 9882 12717 13502 15738 19154 20253 23607 25434 28731 40506 47214 57462 60759 70821 86193 121518 141642 172386 182277 212463 258579 364554 411811 424926 517158 546831 775737 823622 1093662 1235433 1551474 2470866 3706299 7412598 11118897 22237794 33356691 66713382