Search a number
-
+
130237536 = 253111353179
BaseRepresentation
bin1111100001101…
…00010001100000
3100002001202022110
413300310101200
5231320100121
620531235320
73141000162
oct760642140
9302052273
10130237536
1167574430
1237748b40
1320c9c940
1413422932
15b678d76
hex7c34460

130237536 has 192 divisors, whose sum is σ = 411505920. Its totient is φ = 35543040.

The previous prime is 130237531. The next prime is 130237537. The reversal of 130237536 is 635732031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130237531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727495 + ... + 727673.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2130237536 is an apocalyptic number.

130237536 is a gapful number since it is divisible by the number (16) 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 130237536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

130237536 is an abundant number, since it is smaller than the sum of its proper divisors (281268384).

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

130237536 is a wasteful number, since it uses less digits than its factorization.

130237536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 130237536 is about 11412.1661396950. The cubic root of 130237536 is about 506.8880549891. Note that the first 3 decimals are identical.

Adding to 130237536 its reverse (635732031), we get a palindrome (765969567).

The spelling of 130237536 in words is "one hundred thirty million, two hundred thirty-seven thousand, five hundred thirty-six".