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32260 = 2251613
BaseRepresentation
bin111111000000100
31122020211
413320010
52013020
6405204
7163024
oct77004
948224
1032260
1122268
1216804
13118b7
14ba84
15985a
hex7e04

32260 has 12 divisors (see below), whose sum is σ = 67788. Its totient is φ = 12896.

The previous prime is 32257. The next prime is 32261. The reversal of 32260 is 6223.

32260 = T125 + T126 + ... + T128.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 16384 = 126^2 + 128^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 32260.

It is not an unprimeable number, because it can be changed into a prime (32261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 787 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (5649).

232260 is an apocalyptic number.

It is an amenable number.

32260 is an abundant number, since it is smaller than the sum of its proper divisors (35528).

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 (33894).

32260 is a wasteful number, since it uses less digits than its factorization.

32260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 32260 is about 179.6106901050. The cubic root of 32260 is about 31.8337734346.

Adding to 32260 its reverse (6223), we get a palindrome (38483).

It can be divided in two parts, 32 and 260, that added together give a palindrome (292).

The spelling of 32260 in words is "thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 1613 3226 6452 8065 16130 32260