Search a number
-
+
1294405056 = 26337113947
BaseRepresentation
bin100110100100111…
…0000110111000000
310100012122120221000
41031021300313000
510122331430211
6332235332000
744035155450
oct11511606700
93305576830
101294405056
1160472674a
123015b1000
13178229469
14c3ca5d60
1578987656
hex4d270dc0

1294405056 has 224 divisors, whose sum is σ = 4392046080. Its totient is φ = 366170112.

The previous prime is 1294405043. The next prime is 1294405081. The reversal of 1294405056 is 6505044921.

1294405056 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1294405056.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1366375 + ... + 1367321.

Almost surely, 21294405056 is an apocalyptic number.

1294405056 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 1294405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196023040).

1294405056 is an abundant number, since it is smaller than the sum of its proper divisors (3097641024).

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

1294405056 is a wasteful number, since it uses less digits than its factorization.

1294405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1294405056 is about 35977.8411803710. The cubic root of 1294405056 is about 1089.8249181516.

Adding to 1294405056 its reverse (6505044921), we get a palindrome (7799449977).

The spelling of 1294405056 in words is "one billion, two hundred ninety-four million, four hundred five thousand, fifty-six".