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20283144 = 2337157769
BaseRepresentation
bin100110101011…
…1111100001000
31102011111020120
41031113330020
520143030034
62002423240
7334255350
oct115277410
942144216
1020283144
11104a4032
126961b20
13428227b
14299db60
151ba9c49
hex1357f08

20283144 has 64 divisors (see below), whose sum is σ = 58396800. Its totient is φ = 5750784.

The previous prime is 20283139. The next prime is 20283167. The reversal of 20283144 is 44138202.

It is a super-2 number, since 2×202831442 = 822811861049472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25992 + ... + 26760.

It is an arithmetic number, because the mean of its divisors is an integer number (912450).

Almost surely, 220283144 is an apocalyptic number.

20283144 is a gapful number since it is divisible by the number (24) 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 20283144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198400).

20283144 is an abundant number, since it is smaller than the sum of its proper divisors (38113656).

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

20283144 is a wasteful number, since it uses less digits than its factorization.

20283144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20283144 is about 4503.6811610060. The cubic root of 20283144 is about 272.7167156318.

The spelling of 20283144 in words is "twenty million, two hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 769 942 1099 1256 1538 1884 2198 2307 3076 3297 3768 4396 4614 5383 6152 6594 8792 9228 10766 13188 16149 18456 21532 26376 32298 43064 64596 120733 129192 241466 362199 482932 724398 845131 965864 1448796 1690262 2535393 2897592 3380524 5070786 6761048 10141572 20283144