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32142 = 2311487
BaseRepresentation
bin111110110001110
31122002110
413312032
52012032
6404450
7162465
oct76616
948073
1032142
1122170
1216726
1311826
14b9dc
1597cc
hex7d8e

32142 has 16 divisors (see below), whose sum is σ = 70272. Its totient is φ = 9720.

The previous prime is 32141. The next prime is 32143. The reversal of 32142 is 24123.

It is an interprime number because it is at equal distance from previous prime (32141) and next prime (32143).

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 32142.

It is not an unprimeable number, because it can be changed into a prime (32141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4392).

232142 is an apocalyptic number.

32142 is an abundant number, since it is smaller than the sum of its proper divisors (38130).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35136).

32142 is a wasteful number, since it uses less digits than its factorization.

32142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its digits is 48, while the sum is 12.

The square root of 32142 is about 179.2819009270. The cubic root of 32142 is about 31.7949123620.

Adding to 32142 its reverse (24123), we get a palindrome (56265).

It can be divided in two parts, 321 and 42, that added together give a palindrome (363).

The spelling of 32142 in words is "thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 487 974 1461 2922 5357 10714 16071 32142