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130344000 = 263535431
BaseRepresentation
bin1111100010011…
…10010001000000
3100002021011100120
413301032101000
5231332002000
620533420240
73141622443
oct761162100
9302234316
10130344000
1167637416
123779a680
1321009237
141344d65a
15b69a6a0
hex7c4e440

130344000 has 112 divisors (see below), whose sum is σ = 430475136. Its totient is φ = 34752000.

The previous prime is 130343999. The next prime is 130344017. The reversal of 130344000 is 443031.

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

It is an unprimeable number.

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, 21285 + ... + 26715.

It is an arithmetic number, because the mean of its divisors is an integer number (3843528).

Almost surely, 2130344000 is an apocalyptic number.

130344000 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 130344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215237568).

130344000 is an abundant number, since it is smaller than the sum of its proper divisors (300131136).

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

130344000 is an equidigital number, since it uses as much as digits as its factorization.

130344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130344000 is about 11416.8296825345. The cubic root of 130344000 is about 507.0261376377.

Adding to 130344000 its reverse (443031), we get a palindrome (130787031).

The spelling of 130344000 in words is "one hundred thirty million, three hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 5431 6000 8000 10862 12000 16293 21724 24000 27155 32586 43448 54310 65172 81465 86896 108620 130344 135775 162930 173792 217240 260688 271550 325860 347584 407325 434480 521376 543100 651720 678875 814650 868960 1042752 1086200 1303440 1357750 1629300 1737920 2036625 2172400 2606880 2715500 3258600 4073250 4344800 5213760 5431000 6517200 8146500 8689600 10862000 13034400 16293000 21724000 26068800 32586000 43448000 65172000 130344000