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BaseRepresentation
bin11000110100
32011211
4120310
522323
611204
74426
oct3064
92154
101588
111214
12b04
13952
14816
1570d
hex634

1588 has 6 divisors (see below), whose sum is σ = 2786. Its totient is φ = 792.

The previous prime is 1583. The next prime is 1597. The reversal of 1588 is 8851.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 144 = 38^2 + 12^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1583) by changing a digit.

1588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195 + ... + 202.

21588 is an apocalyptic number.

It is an amenable number.

1588 is a deficient number, since it is larger than the sum of its proper divisors (1198).

1588 is a wasteful number, since it uses less digits than its factorization.

1588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its digits is 320, while the sum is 22.

The square root of 1588 is about 39.8497176903. The cubic root of 1588 is about 11.6667573689. Note that the first 3 decimals are identical.

The spelling of 1588 in words is "one thousand, five hundred eighty-eight".

Divisors: 1 2 4 397 794 1588