Search a number
-
+
66740128 = 2571324143
BaseRepresentation
bin1111111010010…
…1111110100000
311122120202020121
43332211332200
5114041141003
610342250024
71440165430
oct376457640
9148522217
1066740128
1134744934
121a426914
1310a99b00
148c142c0
155cd4cbd
hex3fa5fa0

66740128 has 144 divisors (see below), whose sum is σ = 170444736. Its totient is φ = 25159680.

The previous prime is 66740111. The next prime is 66740129. The reversal of 66740128 is 82104766.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 66740093 and 66740102.

It is not an unprimeable number, because it can be changed into a prime (66740129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552075 + ... + 1552117.

It is an arithmetic number, because the mean of its divisors is an integer number (1183644).

Almost surely, 266740128 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 66740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85222368).

66740128 is an abundant number, since it is smaller than the sum of its proper divisors (103704608).

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

66740128 is a wasteful number, since it uses less digits than its factorization.

66740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 66740128 is about 8169.4631402559. The cubic root of 66740128 is about 405.6290139227.

The spelling of 66740128 in words is "sixty-six million, seven hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 43 52 56 82 86 91 104 112 164 169 172 182 208 224 287 301 328 338 344 364 416 533 559 574 602 656 676 688 728 1066 1118 1148 1183 1204 1312 1352 1376 1456 1763 2132 2236 2296 2366 2408 2704 2912 3526 3731 3913 4264 4472 4592 4732 4816 5408 6929 7052 7267 7462 7826 8528 8944 9184 9464 9632 12341 13858 14104 14534 14924 15652 17056 17888 18928 22919 24682 27716 28208 29068 29848 31304 37856 45838 48503 49364 50869 55432 56416 58136 59696 62608 91676 97006 98728 101738 110864 116272 119392 125216 160433 183352 194012 197456 203476 221728 232544 297947 320866 366704 388024 394912 406952 595894 641732 733408 776048 813904 1191788 1283464 1552096 1627808 2085629 2383576 2566928 4171258 4767152 5133856 8342516 9534304 16685032 33370064 66740128