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1032030000 = 24325411467
BaseRepresentation
bin111101100000111…
…000011100110000
32122220221120000100
4331200320130300
54103144430000
6250223552400
734401052551
oct7540703460
92586846010
101032030000
1148a610461
1224975b700
13135a73151
149b0c8328
156090ba00
hex3d838730

1032030000 has 150 divisors (see below), whose sum is σ = 3609472724. Its totient is φ = 275184000.

The previous prime is 1032029993. The next prime is 1032030001. The reversal of 1032030000 is 302301.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (1032030001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84267 + ... + 95733.

Almost surely, 21032030000 is an apocalyptic number.

1032030000 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 1032030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804736362).

1032030000 is an abundant number, since it is smaller than the sum of its proper divisors (2577442724).

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

1032030000 is a wasteful number, since it uses less digits than its factorization.

1032030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1032030000 is about 32125.2237346295. The cubic root of 1032030000 is about 1010.5646615452.

Adding to 1032030000 its reverse (302301), we get a palindrome (1032332301).

The spelling of 1032030000 in words is "one billion, thirty-two million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 11467 15000 18000 22500 22934 30000 34401 45000 45868 57335 68802 90000 91736 103203 114670 137604 172005 183472 206406 229340 275208 286675 344010 412812 458680 516015 550416 573350 688020 825624 860025 917360 1032030 1146700 1376040 1433375 1651248 1720050 2064060 2293400 2580075 2752080 2866750 3440100 4128120 4300125 4586800 5160150 5733500 6880200 7166875 8256240 8600250 10320300 11467000 12900375 13760400 14333750 17200500 20640600 21500625 22934000 25800750 28667500 34401000 41281200 43001250 51601500 57335000 64501875 68802000 86002500 103203000 114670000 129003750 172005000 206406000 258007500 344010000 516015000 1032030000