Search a number
-
+
266690944 = 2713293547
BaseRepresentation
bin11111110010101…
…10000110000000
3200120211022012101
433321112012000
51021233102234
642244040144
76415556422
oct1771260600
9616738171
10266690944
111275a3943
1275393054
13433378c0
14275c2812
151862e814
hexfe56180

266690944 has 64 divisors (see below), whose sum is σ = 575169840. Its totient is φ = 122443776.

The previous prime is 266690939. The next prime is 266690947. The reversal of 266690944 is 449096662.

266690944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2666909442 = 142248119223222272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 266690894 and 266690903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266690947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487279 + ... + 487825.

Almost surely, 2266690944 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 266690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287584920).

266690944 is an abundant number, since it is smaller than the sum of its proper divisors (308478896).

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

266690944 is a wasteful number, since it uses less digits than its factorization.

266690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 266690944 is about 16330.6749401242. The cubic root of 266690944 is about 643.6791220674.

The spelling of 266690944 in words is "two hundred sixty-six million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 293 416 547 586 832 1094 1172 1664 2188 2344 3809 4376 4688 7111 7618 8752 9376 14222 15236 17504 18752 28444 30472 35008 37504 56888 60944 70016 113776 121888 160271 227552 243776 320542 455104 487552 641084 910208 1282168 2083523 2564336 4167046 5128672 8334092 10257344 16668184 20514688 33336368 66672736 133345472 266690944