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65142 = 23271147
BaseRepresentation
bin1111111001110110
310022100200
433321312
54041032
61221330
7360630
oct177166
9108320
1065142
1144a40
1231846
132385c
1419a50
151447c
hexfe76

65142 has 48 divisors (see below), whose sum is σ = 179712. Its totient is φ = 16560.

The previous prime is 65141. The next prime is 65147. The reversal of 65142 is 24156.

Adding to 65142 its reverse (24156), we get a palindrome (89298).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65142.

It is not an unprimeable number, because it can be changed into a prime (65141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

265142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856).

65142 is an abundant number, since it is smaller than the sum of its proper divisors (114570).

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

65142 is a wasteful number, since it uses less digits than its factorization.

65142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 65142 is about 255.2293086618. The cubic root of 65142 is about 40.2365154217.

The spelling of 65142 in words is "sixty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 126 141 154 198 231 282 329 423 462 517 658 693 846 987 1034 1386 1551 1974 2961 3102 3619 4653 5922 7238 9306 10857 21714 32571 65142