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130514328 = 2336723139
BaseRepresentation
bin1111100011101…
…11110110011000
3100002120211000000
413301313312120
5231402424303
620541213000
73143232150
oct761676630
9302524000
10130514328
116774338a
1237861160
1321068919
1413495760
15b6d0da3
hex7c77d98

130514328 has 224 divisors, whose sum is σ = 440697600. Its totient is φ = 35411904.

The previous prime is 130514327. The next prime is 130514333. The reversal of 130514328 is 823415031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130514327) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 938883 + ... + 939021.

It is an arithmetic number, because the mean of its divisors is an integer number (1967400).

Almost surely, 2130514328 is an apocalyptic number.

130514328 is a gapful number since it is divisible by the number (18) 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 130514328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220348800).

130514328 is an abundant number, since it is smaller than the sum of its proper divisors (310183272).

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

130514328 is a wasteful number, since it uses less digits than its factorization.

130514328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130514328 is about 11424.2867611068. The cubic root of 130514328 is about 507.2468949101.

Adding to 130514328 its reverse (823415031), we get a palindrome (953929359).

The spelling of 130514328 in words is "one hundred thirty million, five hundred fourteen thousand, three hundred twenty-eight".