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42840135 = 32513671093
BaseRepresentation
bin1010001101101…
…1000001000111
32222121111121200
42203123001013
541431341020
64130113543
71030064232
oct243330107
988544550
1042840135
1122200478
121241b8b3
138b4c4c0
145992419
153b63590
hex28db047

42840135 has 48 divisors (see below), whose sum is σ = 81236064. Its totient is φ = 20756736.

The previous prime is 42840131. The next prime is 42840137. The reversal of 42840135 is 53104824.

It is not a de Polignac number, because 42840135 - 22 = 42840131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42840099 and 42840108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42840131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38649 + ... + 39741.

It is an arithmetic number, because the mean of its divisors is an integer number (1692418).

Almost surely, 242840135 is an apocalyptic number.

42840135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42840135 is a deficient number, since it is larger than the sum of its proper divisors (38395929).

42840135 is a wasteful number, since it uses less digits than its factorization.

42840135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

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

The square root of 42840135 is about 6545.2375816314. The cubic root of 42840135 is about 349.9051035245.

Adding to 42840135 its reverse (53104824), we get a palindrome (95944959).

The spelling of 42840135 in words is "forty-two million, eight hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 67 117 195 201 335 585 603 871 1005 1093 2613 3015 3279 4355 5465 7839 9837 13065 14209 16395 39195 42627 49185 71045 73231 127881 213135 219693 366155 639405 659079 952003 1098465 2856009 3295395 4760015 8568027 14280045 42840135