Search a number
-
+
1266641376 = 253731113269
BaseRepresentation
bin100101101111111…
…0110100111100000
310021021102001022120
41023133312213200
510043230011001
6325404304240
743250163000
oct11337664740
93237361276
101266641376
1159aa93460
122b4242080
13172558350
14c031a000
1576301236
hex4b7f69e0

1266641376 has 384 divisors, whose sum is σ = 4572288000. Its totient is φ = 302561280.

The previous prime is 1266641359. The next prime is 1266641377. The reversal of 1266641376 is 6731466621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266641377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4708570 + ... + 4708838.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 21266641376 is an apocalyptic number.

1266641376 is a gapful number since it is divisible by the number (16) 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 1266641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144000).

1266641376 is an abundant number, since it is smaller than the sum of its proper divisors (3305646624).

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

1266641376 is a wasteful number, since it uses less digits than its factorization.

1266641376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 1266641376 is about 35589.9055351373. The cubic root of 1266641376 is about 1081.9766543982.

The spelling of 1266641376 in words is "one billion, two hundred sixty-six million, six hundred forty-one thousand, three hundred seventy-six".