Search a number
-
+
1530200 = 235271093
BaseRepresentation
bin101110101100101011000
32212202001002
411311211120
5342431300
652444132
716002140
oct5654530
92782032
101530200
11955731
12619648
13417659
142bb920
152035d5
hex175958

1530200 has 48 divisors (see below), whose sum is σ = 4069680. Its totient is φ = 524160.

The previous prime is 1530197. The next prime is 1530227. The reversal of 1530200 is 20351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (84785).

21530200 is an apocalyptic number.

1530200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034840).

1530200 is an abundant number, since it is smaller than the sum of its proper divisors (2539480).

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

1530200 is a wasteful number, since it uses less digits than its factorization.

1530200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1530200 is about 1237.0125302518. The cubic root of 1530200 is about 115.2345559271.

Adding to 1530200 its reverse (20351), we get a palindrome (1550551).

The spelling of 1530200 in words is "one million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1093 1400 2186 4372 5465 7651 8744 10930 15302 21860 27325 30604 38255 43720 54650 61208 76510 109300 153020 191275 218600 306040 382550 765100 1530200