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130324000 = 2553311051
BaseRepresentation
bin1111100010010…
…01011000100000
3100002020010220211
413301021120200
5231330332000
620533143504
73141510232
oct761113040
9302203824
10130324000
1167623394
123778ab94
13210000c1
1413446252
15b6947ba
hex7c49620

130324000 has 96 divisors (see below), whose sum is σ = 330849792. Its totient is φ = 50400000.

The previous prime is 130323959. The next prime is 130324001. The reversal of 130324000 is 423031.

It is not an unprimeable number, because it can be changed into a prime (130324001) 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 15 ways as a sum of consecutive naturals, for example, 123475 + ... + 124525.

It is an arithmetic number, because the mean of its divisors is an integer number (3446352).

Almost surely, 2130324000 is an apocalyptic number.

130324000 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 130324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165424896).

130324000 is an abundant number, since it is smaller than the sum of its proper divisors (200525792).

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

130324000 is a wasteful number, since it uses less digits than its factorization.

130324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 130324000 is about 11415.9537490303. The cubic root of 130324000 is about 507.0002035927. Note that the first 3 decimals are identical.

Adding to 130324000 its reverse (423031), we get a palindrome (130747031).

The spelling of 130324000 in words is "one hundred thirty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1051 1240 1550 2000 2102 2480 3100 3875 4000 4204 4960 5255 6200 7750 8408 10510 12400 15500 16816 21020 24800 26275 31000 32581 33632 42040 52550 62000 65162 84080 105100 124000 130324 131375 162905 168160 210200 260648 262750 325810 420400 521296 525500 651620 814525 840800 1042592 1051000 1303240 1629050 2102000 2606480 3258100 4072625 4204000 5212960 6516200 8145250 13032400 16290500 26064800 32581000 65162000 130324000