Search a number
-
+
42120759 = 314279839
BaseRepresentation
bin1010000010101…
…1011000110111
32221020221211010
42200223120313
541240331014
64102443303
71021010022
oct240533067
987227733
1042120759
1121859a4a
1212133533
138959c35
1458461b9
153a70359
hex282b637

42120759 has 8 divisors (see below), whose sum is σ = 56206080. Its totient is φ = 28057976.

The previous prime is 42120721. The next prime is 42120769. The reversal of 42120759 is 95702124.

42120759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42120759 - 217 = 41989687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120719) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 639 + ... + 9200.

It is an arithmetic number, because the mean of its divisors is an integer number (7025760).

Almost surely, 242120759 is an apocalyptic number.

42120759 is a deficient number, since it is larger than the sum of its proper divisors (14085321).

42120759 is a wasteful number, since it uses less digits than its factorization.

42120759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42120759 is about 6490.0507702174. The cubic root of 42120759 is about 347.9354897597.

The spelling of 42120759 in words is "forty-two million, one hundred twenty thousand, seven hundred fifty-nine".

Divisors: 1 3 1427 4281 9839 29517 14040253 42120759