Search a number
-
+
266316960 = 25357213267
BaseRepresentation
bin11111101111110…
…10110010100000
3200120010022012010
433313322302200
51021134120320
642232032520
76412441200
oct1767726240
9616108163
10266316960
11127368968
1275232740
1343236600
1427526400
15185a8ae0
hexfdfaca0

266316960 has 432 divisors, whose sum is σ = 1072473696. Its totient is φ = 55351296.

The previous prime is 266316949. The next prime is 266317003. The reversal of 266316960 is 69613662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3974847 + ... + 3974913.

It is an arithmetic number, because the mean of its divisors is an integer number (2482578).

Almost surely, 2266316960 is an apocalyptic number.

266316960 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 266316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536236848).

266316960 is an abundant number, since it is smaller than the sum of its proper divisors (806156736).

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

266316960 is a wasteful number, since it uses less digits than its factorization.

266316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 266316960 is about 16319.2205696228. The cubic root of 266316960 is about 643.3781015914.

The spelling of 266316960 in words is "two hundred sixty-six million, three hundred sixteen thousand, nine hundred sixty".