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130182000 = 24353131669
BaseRepresentation
bin1111100001001…
…10101101110000
3100001221221010120
413300212231300
5231311311000
620530130240
73140346234
oct760465560
9301857116
10130182000
1167536733
1237720980
1320c80590
141340a5c4
15b6676a0
hex7c26b70

130182000 has 160 divisors (see below), whose sum is σ = 452262720. Its totient is φ = 32025600.

The previous prime is 130181999. The next prime is 130182007. The reversal of 130182000 is 281031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130182007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77166 + ... + 78834.

It is an arithmetic number, because the mean of its divisors is an integer number (2826642).

Almost surely, 2130182000 is an apocalyptic number.

130182000 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 130182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226131360).

130182000 is an abundant number, since it is smaller than the sum of its proper divisors (322080720).

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

130182000 is a wasteful number, since it uses less digits than its factorization.

130182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 130182000 is about 11409.7326874910. The cubic root of 130182000 is about 506.8159955349.

The spelling of 130182000 in words is "one hundred thirty million, one hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1669 1950 2000 2600 3000 3120 3250 3338 3900 4875 5007 5200 6000 6500 6676 7800 8345 9750 10014 13000 13352 15600 16690 19500 20028 21697 25035 26000 26704 33380 39000 40056 41725 43394 50070 65091 66760 78000 80112 83450 86788 100140 108485 125175 130182 133520 166900 173576 200280 208625 216970 250350 260364 325455 333800 347152 400560 417250 433940 500700 520728 542425 625875 650910 667600 834500 867880 1001400 1041456 1084850 1251750 1301820 1627275 1669000 1735760 2002800 2169700 2503500 2603640 2712125 3254550 3338000 4339400 5007000 5207280 5424250 6509100 8136375 8678800 10014000 10848500 13018200 16272750 21697000 26036400 32545500 43394000 65091000 130182000