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1530105 = 35831229
BaseRepresentation
bin101110101100011111001
32212201220120
411311203321
5342430410
652443453
716001643
oct5654371
92781816
101530105
11955655
12619589
134175b5
142bb893
15203570
hex1758f9

1530105 has 16 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 805568.

The previous prime is 1530103. The next prime is 1530107. The reversal of 1530105 is 5010351.

Adding to 1530105 its reverse (5010351), we get a palindrome (6540456).

It is an interprime number because it is at equal distance from previous prime (1530103) and next prime (1530107).

It is a cyclic number.

It is not a de Polignac number, because 1530105 - 21 = 1530103 is a prime.

It is a super-2 number, since 2×15301052 = 4682442622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

1530105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

21530105 is an apocalyptic number.

1530105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1530105 is a deficient number, since it is larger than the sum of its proper divisors (949575).

1530105 is a wasteful number, since it uses less digits than its factorization.

1530105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1530105 is about 1236.9741306915. The cubic root of 1530105 is about 115.2321711606.

The spelling of 1530105 in words is "one million, five hundred thirty thousand, one hundred five".

Divisors: 1 3 5 15 83 249 415 1229 1245 3687 6145 18435 102007 306021 510035 1530105