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20287680 = 263573019
BaseRepresentation
bin100110101100…
…1000011000000
31102011201110120
41031121003000
520143201210
62002500240
7334304520
oct115310300
942151416
1020287680
11104a7486
126964680
13428435a
1429a1680
151bab270
hex13590c0

20287680 has 112 divisors (see below), whose sum is σ = 73639680. Its totient is φ = 4635648.

The previous prime is 20287637. The next prime is 20287703. The reversal of 20287680 is 8678202.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5211 + ... + 8229.

Almost surely, 220287680 is an apocalyptic number.

20287680 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 20287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36819840).

20287680 is an abundant number, since it is smaller than the sum of its proper divisors (53352000).

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

20287680 is a wasteful number, since it uses less digits than its factorization.

20287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20287680 is about 4504.1847209012. The cubic root of 20287680 is about 272.7370436903.

The spelling of 20287680 in words is "twenty million, two hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3019 3360 6038 6720 9057 12076 15095 18114 21133 24152 30190 36228 42266 45285 48304 60380 63399 72456 84532 90570 96608 105665 120760 126798 144912 169064 181140 193216 211330 241520 253596 289824 316995 338128 362280 422660 483040 507192 579648 633990 676256 724560 845320 966080 1014384 1267980 1352512 1449120 1690640 2028768 2535960 2898240 3381280 4057536 5071920 6762560 10143840 20287680