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130324800 = 26352191429
BaseRepresentation
bin1111100010010…
…01100101000000
3100002020012000110
413301021211000
5231330343200
620533151320
73141512454
oct761114500
9302205013
10130324800
1167623a51
123778b540
1321000588
1413446664
15b694b50
hex7c49940

130324800 has 168 divisors, whose sum is σ = 450392800. Its totient is φ = 32901120.

The previous prime is 130324769. The next prime is 130324807. The reversal of 130324800 is 8423031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130324807) 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 23 ways as a sum of consecutive naturals, for example, 90486 + ... + 91914.

Almost surely, 2130324800 is an apocalyptic number.

130324800 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 130324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225196400).

130324800 is an abundant number, since it is smaller than the sum of its proper divisors (320068000).

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

130324800 is a wasteful number, since it uses less digits than its factorization.

130324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130324800 is about 11415.9887876609. The cubic root of 130324800 is about 507.0012410055.

Adding to 130324800 its reverse (8423031), we get a palindrome (138747831).

The spelling of 130324800 in words is "one hundred thirty million, three hundred twenty-four thousand, eight hundred".