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42935130 = 2335722717
BaseRepresentation
bin1010001111001…
…0001101011010
32222210022221000
42203302031122
541442411010
64132125430
71030641210
oct243621532
988708830
1042935130
1122265887
1212466876
138b83804
1459b8cb0
153b817c0
hex28f235a

42935130 has 64 divisors (see below), whose sum is σ = 130855680. Its totient is φ = 9813312.

The previous prime is 42935129. The next prime is 42935171. The reversal of 42935130 is 3153924.

42935130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42935094 and 42935103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9469 + ... + 13248.

It is an arithmetic number, because the mean of its divisors is an integer number (2044620).

Almost surely, 242935130 is an apocalyptic number.

42935130 is an abundant number, since it is smaller than the sum of its proper divisors (87920550).

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

42935130 is a wasteful number, since it uses less digits than its factorization.

42935130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22740 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 42935130 is about 6552.4903662653. The cubic root of 42935130 is about 350.1635426180.

The spelling of 42935130 in words is "forty-two million, nine hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 22717 45434 68151 113585 136302 159019 204453 227170 318038 340755 408906 477057 613359 681510 795095 954114 1022265 1226718 1431171 1590190 2044530 2385285 2862342 3066795 4293513 4770570 6133590 7155855 8587026 14311710 21467565 42935130