Search a number
-
+
648189360 = 243257132761
BaseRepresentation
bin100110101000101…
…001010110110000
31200011200102122100
4212220221112300
52311414024420
6144152540400
722030342620
oct4650512660
91604612570
10648189360
11302982295
121610b1700
13a439bb00
146212c880
153bd8b190
hex26a295b0

648189360 has 360 divisors, whose sum is σ = 2697443424. Its totient is φ = 136581120.

The previous prime is 648189343. The next prime is 648189371. The reversal of 648189360 is 63981846.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 851380 + ... + 852140.

Almost surely, 2648189360 is an apocalyptic number.

648189360 is a gapful number since it is divisible by the number (60) 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 648189360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348721712).

648189360 is an abundant number, since it is smaller than the sum of its proper divisors (2049254064).

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

648189360 is a wasteful number, since it uses less digits than its factorization.

648189360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 648189360 is about 25459.5632327030. The cubic root of 648189360 is about 865.4340254501.

The spelling of 648189360 in words is "six hundred forty-eight million, one hundred eighty-nine thousand, three hundred sixty".