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130431648 = 2532515413
BaseRepresentation
bin1111100011000…
…11101010100000
3100002102121120210
413301203222200
5231342303043
620535334120
73142436124
oct761435240
9302377523
10130431648
1167697256
1237821340
132103a0b9
1413473584
15b6b6633
hex7c63aa0

130431648 has 48 divisors (see below), whose sum is σ = 343810656. Its totient is φ = 43296000.

The previous prime is 130431641. The next prime is 130431649. The reversal of 130431648 is 846134031.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (130431641) 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, 21390 + ... + 26802.

It is an arithmetic number, because the mean of its divisors is an integer number (7162722).

Almost surely, 2130431648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171905328).

130431648 is an abundant number, since it is smaller than the sum of its proper divisors (213379008).

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

130431648 is a wasteful number, since it uses less digits than its factorization.

130431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 130431648 is about 11420.6675811881. The cubic root of 130431648 is about 507.1397597189.

Adding to 130431648 its reverse (846134031), we get a palindrome (976565679).

The spelling of 130431648 in words is "one hundred thirty million, four hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1506 2008 3012 4016 5413 6024 8032 10826 12048 16239 21652 24096 32478 43304 64956 86608 129912 173216 259824 519648 1358663 2717326 4075989 5434652 8151978 10869304 16303956 21738608 32607912 43477216 65215824 130431648