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1520300000 = 255523661
BaseRepresentation
bin101101010011101…
…1110111111100000
310220221201020112102
41122213132333200
511103144100000
6410505145532
752450223342
oct13247367740
93827636472
101520300000
1171019598a
1236518b2a8
131b2c7c0cb
14105ca9292
158d7093d5
hex5a9defe0

1520300000 has 144 divisors (see below), whose sum is σ = 3909687264. Its totient is φ = 580800000.

The previous prime is 1520299997. The next prime is 1520300009. The reversal of 1520300000 is 30251.

It is a super-2 number, since 2×15203000002 = 4622624180000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520300009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299670 + ... + 2300330.

It is an arithmetic number, because the mean of its divisors is an integer number (27150606).

Almost surely, 21520300000 is an apocalyptic number.

1520300000 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 1520300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954843632).

1520300000 is an abundant number, since it is smaller than the sum of its proper divisors (2389387264).

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

1520300000 is an frugal number, since it uses more digits than its factorization.

1520300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1520300000 is about 38991.0246082352. The cubic root of 1520300000 is about 1149.8550541956.

Adding to 1520300000 its reverse (30251), we get a palindrome (1520330251).

The spelling of 1520300000 in words is "one billion, five hundred twenty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 661 736 800 920 1000 1150 1250 1322 1840 2000 2300 2500 2644 2875 3125 3305 3680 4000 4600 5000 5288 5750 6250 6610 9200 10000 10576 11500 12500 13220 14375 15203 16525 18400 20000 21152 23000 25000 26440 28750 30406 33050 46000 50000 52880 57500 60812 66100 71875 76015 82625 92000 100000 105760 115000 121624 132200 143750 152030 165250 230000 243248 264400 287500 304060 330500 380075 413125 460000 486496 528800 575000 608120 661000 760150 826250 1150000 1216240 1322000 1520300 1652500 1900375 2065625 2300000 2432480 2644000 3040600 3305000 3800750 4131250 6081200 6610000 7601500 8262500 9501875 12162400 13220000 15203000 16525000 19003750 30406000 33050000 38007500 47509375 60812000 66100000 76015000 95018750 152030000 190037500 304060000 380075000 760150000 1520300000