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20620328000 = 265323112067
BaseRepresentation
bin10011001101000100…
…010011110001000000
31222020001210012021212
4103031010103301000
5314212300444000
613250045105252
71326663616226
oct231504236100
958201705255
1020620328000
118821701698
123bb5858228
131c3807001c
14dd8840b16
1580a451c35
hex4cd113c40

20620328000 has 112 divisors (see below), whose sum is σ = 53286989184. Its totient is φ = 7889446400.

The previous prime is 20620327979. The next prime is 20620328077. The reversal of 20620328000 is 82302602.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 127967 + ... + 240033.

Almost surely, 220620328000 is an apocalyptic number.

20620328000 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 20620328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26643494592).

20620328000 is an abundant number, since it is smaller than the sum of its proper divisors (32666661184).

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

20620328000 is a wasteful number, since it uses less digits than its factorization.

20620328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112117 (or 112097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 20620328000 in words is "twenty billion, six hundred twenty million, three hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 92000 112067 184000 224134 448268 560335 896536 1120670 1793072 2241340 2577541 2801675 3586144 4482680 5155082 5603350 7172288 8965360 10310164 11206700 12887705 14008375 17930720 20620328 22413400 25775410 28016750 35861440 41240656 44826800 51550820 56033500 64438525 82481312 89653600 103101640 112067000 128877050 164962624 179307200 206203280 224134000 257754100 322192625 412406560 448268000 515508200 644385250 824813120 896536000 1031016400 1288770500 2062032800 2577541000 4124065600 5155082000 10310164000 20620328000