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20444000 = 255319269
BaseRepresentation
bin100110111111…
…1001101100000
31102110122220012
41031333031200
520213202000
62010104052
7335525333
oct115771540
942418805
1020444000
11105a3975
126a1b028
13430a555
142a0261a
151bdc735
hex137f360

20444000 has 96 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 7718400.

The previous prime is 20443999. The next prime is 20444009. The reversal of 20444000 is 44402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75866 + ... + 76134.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 220444000 is an apocalyptic number.

20444000 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 20444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

20444000 is an abundant number, since it is smaller than the sum of its proper divisors (32627200).

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

20444000 is a wasteful number, since it uses less digits than its factorization.

20444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20444000 is about 4521.5041744977. The cubic root of 20444000 is about 273.4357471996.

Adding to 20444000 its reverse (44402), we get a palindrome (20488402).

The spelling of 20444000 in words is "twenty million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 269 304 380 400 475 500 538 608 760 800 950 1000 1076 1345 1520 1900 2000 2152 2375 2690 3040 3800 4000 4304 4750 5111 5380 6725 7600 8608 9500 10222 10760 13450 15200 19000 20444 21520 25555 26900 33625 38000 40888 43040 51110 53800 67250 76000 81776 102220 107600 127775 134500 163552 204440 215200 255550 269000 408880 511100 538000 638875 817760 1022200 1076000 1277750 2044400 2555500 4088800 5111000 10222000 20444000