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20323440 = 24335972
BaseRepresentation
bin100110110000…
…1110001110000
31102020112112000
41031201301300
520200322230
62003334000
7334514004
oct115416160
942215460
1020323440
1110521335
126981300
134297707
1429b0704
151bb6b60
hex1361c70

20323440 has 120 divisors (see below), whose sum is σ = 70732080. Its totient is φ = 5363712.

The previous prime is 20323427. The next prime is 20323441. The reversal of 20323440 is 4432302.

20323440 is a `hidden beast` number, since 203 + 23 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209472 + ... + 209568.

It is an arithmetic number, because the mean of its divisors is an integer number (589434).

Almost surely, 220323440 is an apocalyptic number.

20323440 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 20323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35366040).

20323440 is an abundant number, since it is smaller than the sum of its proper divisors (50408640).

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

20323440 is an equidigital number, since it uses as much as digits as its factorization.

20323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20323440 is about 4508.1526149854. The cubic root of 20323440 is about 272.8971959253.

Adding to 20323440 its reverse (4432302), we get a palindrome (24755742).

The spelling of 20323440 in words is "twenty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 240 270 291 360 388 432 485 540 582 720 776 873 970 1080 1164 1455 1552 1746 1940 2160 2328 2619 2910 3492 3880 4365 4656 5238 5820 6984 7760 8730 9409 10476 11640 13095 13968 17460 18818 20952 23280 26190 28227 34920 37636 41904 47045 52380 56454 69840 75272 84681 94090 104760 112908 141135 150544 169362 188180 209520 225816 254043 282270 338724 376360 423405 451632 508086 564540 677448 752720 846810 1016172 1129080 1270215 1354896 1693620 2032344 2258160 2540430 3387240 4064688 5080860 6774480 10161720 20323440