Search a number
-
+
1530000 = 24325417
BaseRepresentation
bin101110101100010010000
32212201202200
411311202100
5342430000
652443200
716001433
oct5654220
92781680
101530000
1195556a
12619500
13417534
142bb81a
15203500
hex175890

1530000 has 150 divisors (see below), whose sum is σ = 5665374. Its totient is φ = 384000.

The previous prime is 1529989. The next prime is 1530019. The reversal of 1530000 is 351.

It can be written as a sum of positive squares in 5 ways, for example, as 389376 + 1140624 = 624^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89992 + ... + 90008.

21530000 is an apocalyptic number.

1530000 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 1530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832687).

1530000 is an abundant number, since it is smaller than the sum of its proper divisors (4135374).

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

1530000 is a wasteful number, since it uses less digits than its factorization.

1530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

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

The square root of 1530000 is about 1236.9316876853. The cubic root of 1530000 is about 115.2295352511.

Adding to 1530000 its reverse (351), we get a palindrome (1530351).

The spelling of 1530000 in words is "one million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 68 72 75 80 85 90 100 102 120 125 136 144 150 153 170 180 200 204 225 240 250 255 272 300 306 340 360 375 400 408 425 450 500 510 600 612 625 680 720 750 765 816 850 900 1000 1020 1125 1200 1224 1250 1275 1360 1500 1530 1700 1800 1875 2000 2040 2125 2250 2448 2500 2550 3000 3060 3400 3600 3750 3825 4080 4250 4500 5000 5100 5625 6000 6120 6375 6800 7500 7650 8500 9000 10000 10200 10625 11250 12240 12750 15000 15300 17000 18000 19125 20400 21250 22500 25500 30000 30600 31875 34000 38250 42500 45000 51000 61200 63750 76500 85000 90000 95625 102000 127500 153000 170000 191250 255000 306000 382500 510000 765000 1530000