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20830080 = 273519571
BaseRepresentation
bin100111101110…
…1011110000000
31110012021111110
41033131132000
520313030310
62022243320
7342024045
oct117353600
943167443
1020830080
1110837a47
126b86540
1344141bb
142aa31cc
151c66d20
hex13dd780

20830080 has 128 divisors (see below), whose sum is σ = 70012800. Its totient is φ = 5253120.

The previous prime is 20830067. The next prime is 20830133. The reversal of 20830080 is 8003802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 36195 + ... + 36765.

It is an arithmetic number, because the mean of its divisors is an integer number (546975).

Almost surely, 220830080 is an apocalyptic number.

20830080 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 20830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006400).

20830080 is an abundant number, since it is smaller than the sum of its proper divisors (49182720).

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

20830080 is a wasteful number, since it uses less digits than its factorization.

20830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20830080 is about 4563.9982471513. The cubic root of 20830080 is about 275.1462803023.

20830080 divided by its product of nonzero digits (384) gives a palindrome (54245).

Adding to 20830080 its reverse (8003802), we get a palindrome (28833882).

The spelling of 20830080 in words is "twenty million, eight hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 571 608 640 760 912 960 1140 1142 1216 1520 1713 1824 1920 2280 2284 2432 2855 3040 3426 3648 4560 4568 5710 6080 6852 7296 8565 9120 9136 10849 11420 12160 13704 17130 18240 18272 21698 22840 27408 32547 34260 36480 36544 43396 45680 54245 54816 65094 68520 73088 86792 91360 108490 109632 130188 137040 162735 173584 182720 216980 219264 260376 274080 325470 347168 365440 433960 520752 548160 650940 694336 867920 1041504 1096320 1301880 1388672 1735840 2083008 2603760 3471680 4166016 5207520 6943360 10415040 20830080