Search a number
-
+
266316480 = 26325891039
BaseRepresentation
bin11111101111110…
…10101011000000
3200120010021112100
433313322223000
51021134111410
642232030400
76412436613
oct1767725300
9616107470
10266316480
11127368571
1275232400
1343236321
142752617a
15185a88c0
hexfdfaac0

266316480 has 168 divisors, whose sum is σ = 927201600. Its totient is φ = 70152192.

The previous prime is 266316439. The next prime is 266316487. The reversal of 266316480 is 84613662.

266316480 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (266316487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255801 + ... + 256839.

Almost surely, 2266316480 is an apocalyptic number.

266316480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463600800).

266316480 is an abundant number, since it is smaller than the sum of its proper divisors (660885120).

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

266316480 is a wasteful number, since it uses less digits than its factorization.

266316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 266316480 is about 16319.2058630314. The cubic root of 266316480 is about 643.3777150574.

The spelling of 266316480 in words is "two hundred sixty-six million, three hundred sixteen thousand, four hundred eighty".