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134324120 = 23574759173
BaseRepresentation
bin10000000000110…
…01111110011000
3100100202101001102
420000121332120
5233341332440
621155010532
73220510340
oct1000317630
9310671042
10134324120
1169905777
1238b99a48
1321aa0a38
1413ba7d20
15bbd4b15
hex8019f98

134324120 has 128 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 44054016.

The previous prime is 134324111. The next prime is 134324137. The reversal of 134324120 is 21423431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134324092 and 134324101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 776354 + ... + 776526.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2134324120 is an apocalyptic number.

134324120 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 134324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

134324120 is an abundant number, since it is smaller than the sum of its proper divisors (226482280).

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

134324120 is a wasteful number, since it uses less digits than its factorization.

134324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 134324120 is about 11589.8282989870. The cubic root of 134324120 is about 512.1352486937.

Adding to 134324120 its reverse (21423431), we get a palindrome (155747551).

The spelling of 134324120 in words is "one hundred thirty-four million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 59 70 94 118 140 173 188 235 236 280 295 329 346 376 413 470 472 590 658 692 826 865 940 1180 1211 1316 1384 1645 1652 1730 1880 2065 2360 2422 2632 2773 3290 3304 3460 4130 4844 5546 6055 6580 6920 8131 8260 9688 10207 11092 12110 13160 13865 16262 16520 19411 20414 22184 24220 27730 32524 38822 40655 40828 48440 51035 55460 56917 65048 71449 77644 81310 81656 97055 102070 110920 113834 142898 155288 162620 194110 204140 227668 284585 285796 325240 357245 388220 408280 455336 479729 569170 571592 714490 776440 959458 1138340 1428980 1918916 2276680 2398645 2857960 3358103 3837832 4797290 6716206 9594580 13432412 16790515 19189160 26864824 33581030 67162060 134324120