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1993856700 = 22352111973067
BaseRepresentation
bin111011011010111…
…1101011010111100
312010221210102012110
41312311331122330
513040411403300
6525503134020
7100260334203
oct16665753274
95127712173
101993856700
11933531060
124778a4310
1325a106084
1414cb3a23a
15ba09c550
hex76d7d6bc

1993856700 has 144 divisors (see below), whose sum is σ = 6327345024. Its totient is φ = 480748800.

The previous prime is 1993856651. The next prime is 1993856707. The reversal of 1993856700 is 76583991.

It is a self number, because there is not a number n which added to its sum of digits gives 1993856700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993856707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648567 + ... + 651633.

It is an arithmetic number, because the mean of its divisors is an integer number (43939896).

Almost surely, 21993856700 is an apocalyptic number.

1993856700 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 1993856700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163672512).

1993856700 is an abundant number, since it is smaller than the sum of its proper divisors (4333488324).

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

1993856700 is a wasteful number, since it uses less digits than its factorization.

1993856700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1993856700 is about 44652.6225433624. The cubic root of 1993856700 is about 1258.6297146500.

The spelling of 1993856700 in words is "one billion, nine hundred ninety-three million, eight hundred fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 197 220 275 300 330 394 550 591 660 788 825 985 1100 1182 1650 1970 2167 2364 2955 3067 3300 3940 4334 4925 5910 6134 6501 8668 9201 9850 10835 11820 12268 13002 14775 15335 18402 19700 21670 26004 29550 30670 32505 33737 36804 43340 46005 54175 59100 61340 65010 67474 76675 92010 101211 108350 130020 134948 153350 162525 168685 184020 202422 216700 230025 306700 325050 337370 404844 460050 506055 604199 650100 674740 843425 920100 1012110 1208398 1686850 1812597 2024220 2416796 2530275 3020995 3373700 3625194 5060550 6041990 6646189 7250388 9062985 10121100 12083980 13292378 15104975 18125970 19938567 26584756 30209950 33230945 36251940 39877134 45314925 60419900 66461890 79754268 90629850 99692835 132923780 166154725 181259700 199385670 332309450 398771340 498464175 664618900 996928350 1993856700