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42354130 = 25721361109
BaseRepresentation
bin1010000110010…
…0010111010010
32221200210221111
42201210113102
541320313010
64111443534
71023001300
oct241442722
987623844
1042354130
11219a9315
12122265aa
138a0c220
1458a7270
153ab958a
hex28645d2

42354130 has 96 divisors (see below), whose sum is σ = 97962480. Its totient is φ = 13063680.

The previous prime is 42354113. The next prime is 42354139. The reversal of 42354130 is 3145324.

It can be written as a sum of positive squares in 8 ways, for example, as 4149369 + 38204761 = 2037^2 + 6181^2 .

It is not an unprimeable number, because it can be changed into a prime (42354139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 388516 + ... + 388624.

Almost surely, 242354130 is an apocalyptic number.

42354130 is an abundant number, since it is smaller than the sum of its proper divisors (55608350).

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

42354130 is a wasteful number, since it uses less digits than its factorization.

42354130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 42354130 is about 6508.0050706803. The cubic root of 42354130 is about 348.5768880878.

Adding to 42354130 its reverse (3145324), we get a palindrome (45499454).

The spelling of 42354130 in words is "forty-two million, three hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 61 65 70 91 98 109 122 130 182 218 245 305 427 455 490 545 610 637 763 793 854 910 1090 1274 1417 1526 1586 2135 2834 2989 3185 3815 3965 4270 5341 5551 5978 6370 6649 7085 7630 7930 9919 10682 11102 13298 14170 14945 19838 26705 27755 29890 33245 38857 46543 49595 53410 55510 66490 69433 77714 86437 93086 99190 138866 172874 194285 232715 325801 347165 388570 432185 465430 605059 651602 694330 864370 1210118 1629005 3025295 3258010 4235413 6050590 8470826 21177065 42354130