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20443780 = 2257223907
BaseRepresentation
bin100110111111…
…1001010000100
31102110122121001
41031333022010
520213200110
62010103044
7335524600
oct115771204
942418531
1020443780
11105a3795
126a1aa84
13430a416
142a02500
151bdc63a
hex137f284

20443780 has 72 divisors (see below), whose sum is σ = 52170048. Its totient is φ = 6697152.

The previous prime is 20443771. The next prime is 20443781. The reversal of 20443780 is 8734402.

It is a super-3 number, since 3×204437803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20443781) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22087 + ... + 22993.

It is an arithmetic number, because the mean of its divisors is an integer number (724584).

Almost surely, 220443780 is an apocalyptic number.

20443780 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 20443780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26085024).

20443780 is an abundant number, since it is smaller than the sum of its proper divisors (31726268).

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

20443780 is a wasteful number, since it uses less digits than its factorization.

20443780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 20443780 is about 4521.4798462450. The cubic root of 20443780 is about 273.4347663727.

The spelling of 20443780 in words is "twenty million, four hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 907 980 1127 1610 1814 2254 3220 3628 4508 4535 5635 6349 9070 11270 12698 18140 20861 22540 25396 31745 41722 44443 63490 83444 88886 104305 126980 146027 177772 208610 222215 292054 417220 444430 584108 730135 888860 1022189 1460270 2044378 2920540 4088756 5110945 10221890 20443780