Search a number
-
+
1266330240 = 27335719229
BaseRepresentation
bin100101101111010…
…1010101010000000
310021020211020112000
41023132222222000
510043140031430
6325353504000
743244425620
oct11336525200
93236736460
101266330240
1159a8a071a
122b4112000
13172479846
14c0278880
157628de60
hex4b7aaa80

1266330240 has 768 divisors, whose sum is σ = 5596128000. Its totient is φ = 264757248.

The previous prime is 1266330193. The next prime is 1266330283. The reversal of 1266330240 is 420336621.

1266330240 is a `hidden beast` number, since 1 + 2 + 6 + 633 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43666546 + ... + 43666574.

It is an arithmetic number, because the mean of its divisors is an integer number (7286625).

Almost surely, 21266330240 is an apocalyptic number.

1266330240 is a gapful number since it is divisible by the number (10) 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 1266330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798064000).

1266330240 is an abundant number, since it is smaller than the sum of its proper divisors (4329797760).

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

1266330240 is a wasteful number, since it uses less digits than its factorization.

1266330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1266330240 is about 35585.5341395910. The cubic root of 1266330240 is about 1081.8880554039. Note that the first 3 decimals are identical.

Adding to 1266330240 its reverse (420336621), we get a palindrome (1686666861).

The spelling of 1266330240 in words is "one billion, two hundred sixty-six million, three hundred thirty thousand, two hundred forty".