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20983050 = 2355211157
BaseRepresentation
bin101000000001…
…0110100001010
31110111001100000
41100002310022
520332424200
62025423430
7343232034
oct120026412
943431300
1020983050
1110931970
12703ab76
134468a0a
142b02c54
151c97300
hex1402d0a

20983050 has 144 divisors (see below), whose sum is σ = 64183392. Its totient is φ = 5054400.

The previous prime is 20983043. The next prime is 20983051. The reversal of 20983050 is 5038902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20983051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133572 + ... + 133728.

It is an arithmetic number, because the mean of its divisors is an integer number (445718).

Almost surely, 220983050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20983050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091696).

20983050 is an abundant number, since it is smaller than the sum of its proper divisors (43200342).

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

20983050 is a wasteful number, since it uses less digits than its factorization.

20983050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20983050 is about 4580.7259250036. The cubic root of 20983050 is about 275.8181694602.

The spelling of 20983050 in words is "twenty million, nine hundred eighty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 157 162 165 198 225 243 270 275 297 314 330 405 450 471 486 495 550 594 675 785 810 825 891 942 990 1215 1350 1413 1485 1570 1650 1727 1782 2025 2355 2430 2475 2673 2826 2970 3454 3925 4050 4239 4455 4710 4950 5181 5346 6075 7065 7425 7850 8478 8635 8910 10362 11775 12150 12717 13365 14130 14850 15543 17270 21195 22275 23550 25434 25905 26730 31086 35325 38151 42390 43175 44550 46629 51810 63585 66825 70650 76302 77715 86350 93258 105975 127170 129525 133650 139887 155430 190755 211950 233145 259050 279774 317925 381510 388575 419661 466290 635850 699435 777150 839322 953775 1165725 1398870 1907550 2098305 2331450 3497175 4196610 6994350 10491525 20983050