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20417320 = 2357211947
BaseRepresentation
bin100110111100…
…0101100101000
31102102022022001
41031320230220
520211323240
62005340344
7335354500
oct115705450
942368261
1020417320
1110585920
126a076b4
1342cb371
1429d6a00
151bd489a
hex1378b28

20417320 has 96 divisors (see below), whose sum is σ = 58358880. Its totient is φ = 6357120.

The previous prime is 20417281. The next prime is 20417329. The reversal of 20417320 is 2371402.

It is not an unprimeable number, because it can be changed into a prime (20417329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21087 + ... + 22033.

It is an arithmetic number, because the mean of its divisors is an integer number (607905).

Almost surely, 220417320 is an apocalyptic number.

20417320 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 20417320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29179440).

20417320 is an abundant number, since it is smaller than the sum of its proper divisors (37941560).

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

20417320 is a wasteful number, since it uses less digits than its factorization.

20417320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 20417320 is about 4518.5528656861. The cubic root of 20417320 is about 273.3167482831.

Adding to 20417320 its reverse (2371402), we get a palindrome (22788722).

The spelling of 20417320 in words is "twenty million, four hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 947 980 1078 1540 1894 1960 2156 2695 3080 3788 4312 4735 5390 6629 7576 9470 10417 10780 13258 18940 20834 21560 26516 33145 37880 41668 46403 52085 53032 66290 72919 83336 92806 104170 132580 145838 185612 208340 232015 265160 291676 364595 371224 416680 464030 510433 583352 729190 928060 1020866 1458380 1856120 2041732 2552165 2916760 4083464 5104330 10208660 20417320