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130424832 = 213322961
BaseRepresentation
bin1111100011000…
…10000000000000
3100002102021020100
413301202000000
5231342043312
620535242400
73142410216
oct761420000
9302367210
10130424832
116769211a
1237819400
1321036c75
1413470cb6
15b6b45dc
hex7c62000

130424832 has 168 divisors, whose sum is σ = 396140940. Its totient is φ = 41287680.

The previous prime is 130424831. The next prime is 130424837. The reversal of 130424832 is 238424031.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 10653696 = 10944^2 + 3264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130424796 and 130424805.

It is not an unprimeable number, because it can be changed into a prime (130424831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138082 + ... + 2138142.

Almost surely, 2130424832 is an apocalyptic number.

130424832 is a gapful number since it is divisible by the number (12) 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 130424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198070470).

130424832 is an abundant number, since it is smaller than the sum of its proper divisors (265716108).

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

130424832 is an equidigital number, since it uses as much as digits as its factorization.

130424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 130424832 is about 11420.3691709156. The cubic root of 130424832 is about 507.1309256542.

Adding to 130424832 its reverse (238424031), we get a palindrome (368848863).

The spelling of 130424832 in words is "one hundred thirty million, four hundred twenty-four thousand, eight hundred thirty-two".