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1018530000 = 24325411317
BaseRepresentation
bin111100101101011…
…000100011010000
32121222112200111100
4330231120203100
54041220430000
6245022344400
734145235135
oct7455304320
92558480440
101018530000
11482a2a734
1224512b100
13133027497
14993b258c
155e641a00
hex3cb588d0

1018530000 has 150 divisors (see below), whose sum is σ = 3562261274. Its totient is φ = 271584000.

The previous prime is 1018529983. The next prime is 1018530001. The reversal of 1018530000 is 358101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 132158016 + 886371984 = 11496^2 + 29772^2 .

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018530001) 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, 84342 + ... + 95658.

Almost surely, 21018530000 is an apocalyptic number.

1018530000 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 1018530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781130637).

1018530000 is an abundant number, since it is smaller than the sum of its proper divisors (2543731274).

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

1018530000 is a wasteful number, since it uses less digits than its factorization.

1018530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1018530000 is about 31914.4168049488. The cubic root of 1018530000 is about 1006.1389034144.

Adding to 1018530000 its reverse (358101), we get a palindrome (1018888101).

The spelling of 1018530000 in words is "one billion, eighteen million, five 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 11317 15000 18000 22500 22634 30000 33951 45000 45268 56585 67902 90000 90536 101853 113170 135804 169755 181072 203706 226340 271608 282925 339510 407412 452680 509265 543216 565850 679020 814824 848775 905360 1018530 1131700 1358040 1414625 1629648 1697550 2037060 2263400 2546325 2716080 2829250 3395100 4074120 4243875 4526800 5092650 5658500 6790200 7073125 8148240 8487750 10185300 11317000 12731625 13580400 14146250 16975500 20370600 21219375 22634000 25463250 28292500 33951000 40741200 42438750 50926500 56585000 63658125 67902000 84877500 101853000 113170000 127316250 169755000 203706000 254632500 339510000 509265000 1018530000