Search a number
-
+
5680862400 = 263521279319
BaseRepresentation
bin1010100101001101…
…10001010011000000
3112122220112201012010
411102212301103000
543113300044100
62335412332520
7260530351023
oct52246612300
915586481163
105680862400
112455776004
121126614140
136c6c2a255
143bc6971ba
15233ae8750
hex1529b14c0

5680862400 has 168 divisors, whose sum is σ = 18786734080. Its totient is φ = 1502807040.

The previous prime is 5680862393. The next prime is 5680862401. The reversal of 5680862400 is 42680865.

It is not an unprimeable number, because it can be changed into a prime (5680862401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 604941 + ... + 614259.

Almost surely, 25680862400 is an apocalyptic number.

5680862400 is a gapful number since it is divisible by the number (50) 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 5680862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393367040).

5680862400 is an abundant number, since it is smaller than the sum of its proper divisors (13105871680).

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

5680862400 is a wasteful number, since it uses less digits than its factorization.

5680862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5680862400 is about 75371.4959384514. The cubic root of 5680862400 is about 1784.3145764988.

The spelling of 5680862400 in words is "five billion, six hundred eighty million, eight hundred sixty-two thousand, four hundred".