Search a number
-
+
130445640 = 233451319163
BaseRepresentation
bin1111100011001…
…11000101001000
3100002110022210000
413301213011020
5231343230030
620535523000
73142524663
oct761470510
9302408700
10130445640
11676a6816
1237829460
1321043590
14134786da
15b6ba860
hex7c67148

130445640 has 320 divisors, whose sum is σ = 500068800. Its totient is φ = 30233088.

The previous prime is 130445629. The next prime is 130445657. The reversal of 130445640 is 46544031.

130445640 is a `hidden beast` number, since 13 + 0 + 4 + 4 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 800199 + ... + 800361.

It is an arithmetic number, because the mean of its divisors is an integer number (1562715).

Almost surely, 2130445640 is an apocalyptic number.

130445640 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 130445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250034400).

130445640 is an abundant number, since it is smaller than the sum of its proper divisors (369623160).

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

130445640 is a wasteful number, since it uses less digits than its factorization.

130445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130445640 is about 11421.2801384083. The cubic root of 130445640 is about 507.1578934717.

Adding to 130445640 its reverse (46544031), we get a palindrome (176989671).

The spelling of 130445640 in words is "one hundred thirty million, four hundred forty-five thousand, six hundred forty".