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130325760 = 28355419
BaseRepresentation
bin1111100010010…
…01110100000000
3100002020020100000
413301021310000
5231330411020
620533200000
73141515325
oct761116400
9302206300
10130325760
1167624744
1237790000
1321000b46
1413446b4c
15b695090
hex7c49d00

130325760 has 216 divisors, whose sum is σ = 468730080. Its totient is φ = 34670592.

The previous prime is 130325753. The next prime is 130325761. The reversal of 130325760 is 67523031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 (130325761) 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, 310831 + ... + 311249.

Almost surely, 2130325760 is an apocalyptic number.

130325760 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 130325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

130325760 is an abundant number, since it is smaller than the sum of its proper divisors (338404320).

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

130325760 is an frugal number, since it uses more digits than its factorization.

130325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130325760 is about 11416.0308338757. The cubic root of 130325760 is about 507.0024858952.

Adding to 130325760 its reverse (67523031), we get a palindrome (197848791).

The spelling of 130325760 in words is "one hundred thirty million, three hundred twenty-five thousand, seven hundred sixty".