1530 has 24 divisors (see below), whose sum is σ = 4212. Its totient is φ = 384.

The previous prime is 1523. The next prime is 1531. The reversal of 1530 is 351.

Adding to 1530 its reverse (351), we get a palindrome (1881).

It can be divided in two parts, 15 and 30, that added together give a triangular number (45 = T_{9}).

1530 = T_{4} + T_{5} + ... +
T_{20}.

1530 is nontrivially palindromic in base 8 and base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 9 = 39^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

1530 is an undulating number in base 13.

It is a Curzon number.

It is a nialpdrome in base 5 and base 12.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 98.

1530 is a Friedman number, since it can be written as 51*30, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 30 ⋅ 51 (with its own digits).

1530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106).

1530 is an abundant number, since it is smaller than the sum of its proper divisors (2682).

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

1530 is a wasteful number, since it uses less digits than its factorization.

1530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1530 is about 39.1152144312. The cubic root of 1530 is about 11.5229535251.

The spelling of 1530 in words is "one thousand, five hundred thirty".

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