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20420434200 = 2335267507971
BaseRepresentation
bin10011000001001001…
…110001100100011000
31221201010122112112210
4103001021301210120
5313310112343300
613214144435120
71322015553405
oct230111614430
957633575483
1020420434200
118729891501
123b5a918aa0
131c0582217a
14dba0892ac
157e7b19050
hex4c1271918

20420434200 has 96 divisors (see below), whose sum is σ = 64248298560. Its totient is φ = 5364163200.

The previous prime is 20420434169. The next prime is 20420434201. The reversal of 20420434200 is 243402402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420434201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213786 + ... + 294185.

It is an arithmetic number, because the mean of its divisors is an integer number (669253110).

Almost surely, 220420434200 is an apocalyptic number.

20420434200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420434200 is an abundant number, since it is smaller than the sum of its proper divisors (43827864360).

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

20420434200 is a wasteful number, since it uses less digits than its factorization.

20420434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508057 (or 508048 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20420434200 its reverse (243402402), we get a palindrome (20663836602).

The spelling of 20420434200 in words is "twenty billion, four hundred twenty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 507971 1015942 1523913 2031884 2539855 3047826 4063768 5079710 6095652 7619565 10159420 12191304 12699275 15239130 20318840 25398550 30478260 34034057 38097825 50797100 60956520 68068114 76195650 101594200 102102171 136136228 152391300 170170285 204204342 272272456 304782600 340340570 408408684 510510855 680681140 816817368 850851425 1021021710 1361362280 1701702850 2042043420 2552554275 3403405700 4084086840 5105108550 6806811400 10210217100 20420434200