Search a number
-
+
104305000 = 235423907
BaseRepresentation
bin1100011011110…
…01000101101000
321021021020120011
412031321011220
5203200230000
614203341304
72404402132
oct615710550
9237236504
10104305000
1153971988
122ab21834
13187c0147
14dbd2052
1592552ba
hex6379168

104305000 has 80 divisors (see below), whose sum is σ = 255293280. Its totient is φ = 39864000.

The previous prime is 104304983. The next prime is 104305009. The reversal of 104305000 is 503401.

It is not an unprimeable number, because it can be changed into a prime (104305009) 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 19 ways as a sum of consecutive naturals, for example, 114547 + ... + 115453.

It is an arithmetic number, because the mean of its divisors is an integer number (3191166).

Almost surely, 2104305000 is an apocalyptic number.

104305000 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 104305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127646640).

104305000 is an abundant number, since it is smaller than the sum of its proper divisors (150988280).

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

104305000 is an equidigital number, since it uses as much as digits as its factorization.

104305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 104305000 is about 10212.9819347730. The cubic root of 104305000 is about 470.7262049498.

Adding to 104305000 its reverse (503401), we get a palindrome (104808401).

The spelling of 104305000 in words is "one hundred four million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 907 920 1000 1150 1250 1814 2300 2500 2875 3628 4535 4600 5000 5750 7256 9070 11500 14375 18140 20861 22675 23000 28750 36280 41722 45350 57500 83444 90700 104305 113375 115000 166888 181400 208610 226750 417220 453500 521525 566875 834440 907000 1043050 1133750 2086100 2267500 2607625 4172200 4535000 5215250 10430500 13038125 20861000 26076250 52152500 104305000