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32144 = 247241
BaseRepresentation
bin111110110010000
31122002112
413312100
52012034
6404452
7162500
oct76620
948075
1032144
1122172
1216728
1311828
14ba00
1597ce
hex7d90

32144 has 30 divisors (see below), whose sum is σ = 74214. Its totient is φ = 13440.

The previous prime is 32143. The next prime is 32159. The reversal of 32144 is 44123.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 12544 = 140^2 + 112^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

32144 is a modest number, since divided by 144 gives 32 as remainder.

It is a nialpdrome in base 8 and base 14.

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 32144.

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 5 ways as a sum of consecutive naturals, for example, 764 + ... + 804.

232144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37107).

32144 is an abundant number, since it is smaller than the sum of its proper divisors (42070).

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

32144 is a wasteful number, since it uses less digits than its factorization.

32144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 32144 is about 179.2874786481. The cubic root of 32144 is about 31.7955718159.

Adding to 32144 its reverse (44123), we get a palindrome (76267).

The spelling of 32144 in words is "thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 4018 4592 8036 16072 32144