Search a number
-
+
1530900 = 2237527
BaseRepresentation
bin101110101110000010100
32212210000000
411311300110
5342442100
652451300
716004160
oct5656024
92783000
101530900
11956208
12619b30
13417a77
142bbca0
15203900
hex175c14

1530900 has 144 divisors (see below), whose sum is σ = 5694080. Its totient is φ = 349920.

The previous prime is 1530871. The next prime is 1530911. The reversal of 1530900 is 90351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218697 + ... + 218703.

21530900 is an apocalyptic number.

1530900 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 1530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847040).

1530900 is an abundant number, since it is smaller than the sum of its proper divisors (4163180).

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

1530900 is an equidigital number, since it uses as much as digits as its factorization.

1530900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1530900 is about 1237.2954376381. The cubic root of 1530900 is about 115.2521248489.

The spelling of 1530900 in words is "one million, five hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 81 84 90 100 105 108 126 135 140 150 162 175 180 189 210 225 243 252 270 300 315 324 350 378 405 420 450 486 525 540 567 630 675 700 729 756 810 900 945 972 1050 1134 1215 1260 1350 1458 1575 1620 1701 1890 2025 2100 2187 2268 2430 2700 2835 2916 3150 3402 3645 3780 4050 4374 4725 4860 5103 5670 6075 6300 6804 7290 8100 8505 8748 9450 10206 10935 11340 12150 14175 14580 15309 17010 18225 18900 20412 21870 24300 25515 28350 30618 34020 36450 42525 43740 51030 54675 56700 61236 72900 76545 85050 102060 109350 127575 153090 170100 218700 255150 306180 382725 510300 765450 1530900