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42142065 = 3571723609
BaseRepresentation
bin1010000011000…
…0100101110001
32221022001001020
42200300211301
541242021230
64103130053
71021126110
oct240604561
987261036
1042142065
1121873a59
1212143929
138966844
14584dc77
153a76810
hex2830971

42142065 has 32 divisors (see below), whose sum is σ = 81596160. Its totient is φ = 18130944.

The previous prime is 42142027. The next prime is 42142069. The reversal of 42142065 is 56024124.

It is not a de Polignac number, because 42142065 - 27 = 42141937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42142069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10020 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (2549880).

Almost surely, 242142065 is an apocalyptic number.

It is an amenable number.

42142065 is a deficient number, since it is larger than the sum of its proper divisors (39454095).

42142065 is a wasteful number, since it uses less digits than its factorization.

42142065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23641.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42142065 is about 6491.6919982390. The cubic root of 42142065 is about 347.9941454293.

Adding to 42142065 its reverse (56024124), we get a palindrome (98166189).

It can be divided in two parts, 421 and 42065, that added together give a triangular number (42486 = T291).

The spelling of 42142065 in words is "forty-two million, one hundred forty-two thousand, sixty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 23609 70827 118045 165263 354135 401353 495789 826315 1204059 2006765 2478945 2809471 6020295 8428413 14047355 42142065