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42854130 = 23351147307
BaseRepresentation
bin1010001101111…
…0011011110010
32222122012211000
42203132123302
541432313010
64130302430
71030153104
oct243363362
988565730
1042854130
112220aa40
1212427a16
138b55997
145997574
153b677c0
hex28de6f2

42854130 has 128 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 10134720.

The previous prime is 42854107. The next prime is 42854131. The reversal of 42854130 is 3145824.

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

It is a junction number, because it is equal to n+sod(n) for n = 42854094 and 42854103.

It is not an unprimeable number, because it can be changed into a prime (42854131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139437 + ... + 139743.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 242854130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42854130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

42854130 is an abundant number, since it is smaller than the sum of its proper divisors (84879630).

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

42854130 is a wasteful number, since it uses less digits than its factorization.

42854130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42854130 is about 6546.3065922702. The cubic root of 42854130 is about 349.9432016676.

Adding to 42854130 its reverse (3145824), we get a palindrome (45999954).

The spelling of 42854130 in words is "forty-two million, eight hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 90 94 99 110 135 141 165 198 235 270 282 297 307 330 423 470 495 517 594 614 705 846 921 990 1034 1269 1410 1485 1535 1551 1842 2115 2538 2585 2763 2970 3070 3102 3377 4230 4605 4653 5170 5526 6345 6754 7755 8289 9210 9306 10131 12690 13815 13959 14429 15510 16578 16885 20262 23265 27630 27918 28858 30393 33770 41445 43287 46530 50655 60786 69795 72145 82890 86574 91179 101310 129861 139590 144290 151965 158719 182358 216435 259722 303930 317438 389583 432870 455895 476157 649305 779166 793595 911790 952314 1298610 1428471 1587190 1947915 2380785 2856942 3895830 4285413 4761570 7142355 8570826 14284710 21427065 42854130