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130789344 = 25374147101
BaseRepresentation
bin1111100101110…
…10111111100000
3100010002210020210
413302322333200
5231440224334
620551134120
73145456020
oct762727740
9303083223
10130789344
1167910a74
1237974340
1321133b5a
1413527a80
15b7375e9
hex7cbafe0

130789344 has 192 divisors, whose sum is σ = 414554112. Its totient is φ = 35328000.

The previous prime is 130789301. The next prime is 130789357. The reversal of 130789344 is 443987031.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1294894 + ... + 1294994.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 2130789344 is an apocalyptic number.

130789344 is a gapful number since it is divisible by the number (14) 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 130789344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

130789344 is an abundant number, since it is smaller than the sum of its proper divisors (283764768).

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

130789344 is a wasteful number, since it uses less digits than its factorization.

130789344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 130789344 is about 11436.3168896284. The cubic root of 130789344 is about 507.6029302577.

It can be divided in two parts, 13078 and 9344, that added together give a palindrome (22422).

The spelling of 130789344 in words is "one hundred thirty million, seven hundred eighty-nine thousand, three hundred forty-four".