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1530564 = 2237219137
BaseRepresentation
bin101110101101011000100
32212202112120
411311223010
5342434224
652445540
716003200
oct5655304
92782476
101530564
11955a32
126198b0
13417879
142bbb00
15203779
hex175ac4

1530564 has 72 divisors (see below), whose sum is σ = 4404960. Its totient is φ = 411264.

The previous prime is 1530559. The next prime is 1530569. The reversal of 1530564 is 4650351.

It is an interprime number because it is at equal distance from previous prime (1530559) and next prime (1530569).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1530569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11104 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (61180).

21530564 is an apocalyptic number.

1530564 is a gapful number since it is divisible by the number (14) 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 1530564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202480).

1530564 is an abundant number, since it is smaller than the sum of its proper divisors (2874396).

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

1530564 is a wasteful number, since it uses less digits than its factorization.

1530564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1530564 is about 1237.1596501665. The cubic root of 1530564 is about 115.2436924350.

The spelling of 1530564 in words is "one million, five hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 137 147 196 228 266 274 294 399 411 532 548 588 798 822 931 959 1596 1644 1862 1918 2603 2793 2877 3724 3836 5206 5586 5754 6713 7809 10412 11172 11508 13426 15618 18221 20139 26852 31236 36442 40278 54663 72884 80556 109326 127547 218652 255094 382641 510188 765282 1530564