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32140 = 2251607
BaseRepresentation
bin111110110001100
31122002101
413312030
52012030
6404444
7162463
oct76614
948071
1032140
1122169
1216724
1311824
14b9da
1597ca
hex7d8c

32140 has 12 divisors (see below), whose sum is σ = 67536. Its totient is φ = 12848.

The previous prime is 32119. The next prime is 32141. The reversal of 32140 is 4123.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 3 ways as a sum of consecutive naturals, for example, 784 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (5628).

232140 is an apocalyptic number.

It is an amenable number.

32140 is an abundant number, since it is smaller than the sum of its proper divisors (35396).

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 (33768).

32140 is a wasteful number, since it uses less digits than its factorization.

32140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 32140 is about 179.2763230324. The cubic root of 32140 is about 31.7942528807.

Adding to 32140 its reverse (4123), we get a palindrome (36263).

It can be divided in two parts, 321 and 40, that added together give a square (361 = 192).

The spelling of 32140 in words is "thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1607 3214 6428 8035 16070 32140