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20600308000 = 25537370549
BaseRepresentation
bin10011001011110111…
…111100000100100000
31222011200010002000101
4103023313330010200
5314142134324000
613244052032144
71326331504666
oct231367740440
958150102011
1020600308000
118811378338
123bab002654
131c33b8077c
14dd5d0cc36
158087e9e6a
hex4cbdfc120

20600308000 has 96 divisors (see below), whose sum is σ = 51309039600. Its totient is φ = 8127129600.

The previous prime is 20600307967. The next prime is 20600308007. The reversal of 20600308000 is 80300602.

It can be written as a sum of positive squares in 8 ways, for example, as 5421082384 + 15179225616 = 73628^2 + 123204^2 .

It is not an unprimeable number, because it can be changed into a prime (20600308007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256726 + ... + 327274.

Almost surely, 220600308000 is an apocalyptic number.

20600308000 is a gapful number since it is divisible by the number (20) 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 20600308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25654519800).

20600308000 is an abundant number, since it is smaller than the sum of its proper divisors (30708731600).

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

20600308000 is an equidigital number, since it uses as much as digits as its factorization.

20600308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70647 (or 70629 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20600308000 its reverse (80300602), we get a palindrome (20680608602).

The spelling of 20600308000 in words is "twenty billion, six hundred million, three hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 730 800 1000 1168 1460 1825 2000 2336 2920 3650 4000 5840 7300 9125 11680 14600 18250 29200 36500 58400 70549 73000 141098 146000 282196 292000 352745 564392 705490 1128784 1410980 1763725 2257568 2821960 3527450 5150077 5643920 7054900 8818625 10300154 11287840 14109800 17637250 20600308 25750385 28219600 35274500 41200616 51500770 56439200 70549000 82401232 103001540 128751925 141098000 164802464 206003080 257503850 282196000 412006160 515007700 643759625 824012320 1030015400 1287519250 2060030800 2575038500 4120061600 5150077000 10300154000 20600308000