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1300230000 = 24325414447
BaseRepresentation
bin100110101111111…
…1110111101110000
310100121121112020200
41031133332331300
510130324330000
6333004235200
744135526006
oct11537767560
93317545220
101300230000
11607a45053
1230353bb00
131794b8884
14c4980a76
1579238500
hex4d7fef70

1300230000 has 150 divisors (see below), whose sum is σ = 4547406864. Its totient is φ = 346704000.

The previous prime is 1300229977. The next prime is 1300230011. The reversal of 1300230000 is 320031.

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 a congruent 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, 82777 + ... + 97223.

Almost surely, 21300230000 is an apocalyptic number.

1300230000 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 1300230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273703432).

1300230000 is an abundant number, since it is smaller than the sum of its proper divisors (3247176864).

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

1300230000 is a wasteful number, since it uses less digits than its factorization.

1300230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481 (or 14457 counting only the distinct ones).

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

The square root of 1300230000 is about 36058.7021397055. The cubic root of 1300230000 is about 1091.4572434613.

Adding to 1300230000 its reverse (320031), we get a palindrome (1300550031).

The spelling of 1300230000 in words is "one billion, three hundred million, two hundred 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 14447 15000 18000 22500 28894 30000 43341 45000 57788 72235 86682 90000 115576 130023 144470 173364 216705 231152 260046 288940 346728 361175 433410 520092 577880 650115 693456 722350 866820 1040184 1083525 1155760 1300230 1444700 1733640 1805875 2080368 2167050 2600460 2889400 3250575 3467280 3611750 4334100 5200920 5417625 5778800 6501150 7223500 8668200 9029375 10401840 10835250 13002300 14447000 16252875 17336400 18058750 21670500 26004600 27088125 28894000 32505750 36117500 43341000 52009200 54176250 65011500 72235000 81264375 86682000 108352500 130023000 144470000 162528750 216705000 260046000 325057500 433410000 650115000 1300230000