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1468090350 = 2325211328871
BaseRepresentation
bin101011110000001…
…0100011111101110
310210022110201100200
41113200110133232
511001312342400
6401402134330
751244363536
oct12740243756
93708421320
101468090350
11693776011
1234b7b13a6
131a51cc01c
14dcd984c6
1588d44b00
hex578147ee

1468090350 has 72 divisors (see below), whose sum is σ = 3979312272. Its totient is φ = 388012800.

The previous prime is 1468090331. The next prime is 1468090357. The reversal of 1468090350 is 530908641.

1468090350 is a `hidden beast` number, since 146 + 80 + 90 + 350 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468090357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36415 + ... + 65285.

It is an arithmetic number, because the mean of its divisors is an integer number (55268226).

Almost surely, 21468090350 is an apocalyptic number.

1468090350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468090350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989656136).

1468090350 is an abundant number, since it is smaller than the sum of its proper divisors (2511221922).

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

1468090350 is a wasteful number, since it uses less digits than its factorization.

1468090350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29002 (or 28994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1468090350 is about 38315.6671610974. The cubic root of 1468090350 is about 1136.5387862582.

Adding to 1468090350 its reverse (530908641), we get a palindrome (1998998991).

The spelling of 1468090350 in words is "one billion, four hundred sixty-eight million, ninety thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 565 678 1017 1130 1695 2034 2825 3390 5085 5650 8475 10170 16950 25425 28871 50850 57742 86613 144355 173226 259839 288710 433065 519678 721775 866130 1299195 1443550 2165325 2598390 3262423 4330650 6495975 6524846 9787269 12991950 16312115 19574538 29361807 32624230 48936345 58723614 81560575 97872690 146809035 163121150 244681725 293618070 489363450 734045175 1468090350