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42381360 = 2433572803
BaseRepresentation
bin1010000110101…
…1000000110000
32221202012022000
42201223000300
541322200420
64112214000
71023143550
oct241530060
987665260
1042381360
1121a1781a
121223a300
138a1b738
1458b3160
153ac2690
hex286b030

42381360 has 160 divisors (see below), whose sum is σ = 166894080. Its totient is φ = 9683712.

The previous prime is 42381349. The next prime is 42381401. The reversal of 42381360 is 6318324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13719 + ... + 16521.

It is an arithmetic number, because the mean of its divisors is an integer number (1043088).

Almost surely, 242381360 is an apocalyptic number.

42381360 is a gapful number since it is divisible by the number (40) 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 42381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83447040).

42381360 is an abundant number, since it is smaller than the sum of its proper divisors (124512720).

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

42381360 is a wasteful number, since it uses less digits than its factorization.

42381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42381360 is about 6510.0967734743. The cubic root of 42381360 is about 348.6515735653.

Adding to 42381360 its reverse (6318324), we get a palindrome (48699684).

The spelling of 42381360 in words is "forty-two million, three hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 2803 3024 3780 5040 5606 7560 8409 11212 14015 15120 16818 19621 22424 25227 28030 33636 39242 42045 44848 50454 56060 58863 67272 75681 78484 84090 98105 100908 112120 117726 126135 134544 151362 156968 168180 176589 196210 201816 224240 235452 252270 294315 302724 313936 336360 353178 378405 392420 403632 470904 504540 529767 588630 605448 672720 706356 756810 784840 882945 941808 1009080 1059534 1177260 1210896 1412712 1513620 1569680 1765890 2018160 2119068 2354520 2648835 2825424 3027240 3531780 4238136 4709040 5297670 6054480 7063560 8476272 10595340 14127120 21190680 42381360