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1468582420 = 225101727021
BaseRepresentation
bin101011110001000…
…1100101000010100
310210100101201100111
41113202030220110
511001424114140
6401420452404
751251513254
oct12742145024
93710351314
101468582420
11693a81788
1234b9aa104
131a5341ca6
14dd085964
1588de07ea
hex5788ca14

1468582420 has 24 divisors (see below), whose sum is σ = 3114562248. Its totient is φ = 581616000.

The previous prime is 1468582387. The next prime is 1468582421. The reversal of 1468582420 is 242858641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 862831876 + 605750544 = 29374^2 + 24612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468582421) 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 7 ways as a sum of consecutive naturals, for example, 361491 + ... + 365530.

It is an arithmetic number, because the mean of its divisors is an integer number (129773427).

Almost surely, 21468582420 is an apocalyptic number.

1468582420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468582420 is an abundant number, since it is smaller than the sum of its proper divisors (1645979828).

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

1468582420 is a wasteful number, since it uses less digits than its factorization.

1468582420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727131 (or 727129 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 1468582420 is about 38322.0878867527. The cubic root of 1468582420 is about 1136.6657525967.

The spelling of 1468582420 in words is "one billion, four hundred sixty-eight million, five hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 727021 1454042 2908084 3635105 7270210 14540420 73429121 146858242 293716484 367145605 734291210 1468582420