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20270880 = 2532572011
BaseRepresentation
bin100110101010…
…0111100100000
31102010212102100
41031110330200
520142132010
62002250400
7334204530
oct115247440
942125370
1020270880
11104958a3
126956a00
134279806
1429994c0
151ba62c0
hex1354f20

20270880 has 144 divisors (see below), whose sum is σ = 79095744. Its totient is φ = 4631040.

The previous prime is 20270879. The next prime is 20270909. The reversal of 20270880 is 8807202.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9075 + ... + 11085.

It is an arithmetic number, because the mean of its divisors is an integer number (549276).

Almost surely, 220270880 is an apocalyptic number.

20270880 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 20270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39547872).

20270880 is an abundant number, since it is smaller than the sum of its proper divisors (58824864).

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

20270880 is a wasteful number, since it uses less digits than its factorization.

20270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20270880 is about 4502.3194022637. The cubic root of 20270880 is about 272.6617394059.

The spelling of 20270880 in words is "twenty million, two hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2011 2016 2520 3360 4022 5040 6033 8044 10055 10080 12066 14077 16088 18099 20110 24132 28154 30165 32176 36198 40220 42231 48264 56308 60330 64352 70385 72396 80440 84462 90495 96528 112616 120660 126693 140770 144792 160880 168924 180990 193056 211155 225232 241320 253386 281540 289584 321760 337848 361980 422310 450464 482640 506772 563080 579168 633465 675696 723960 844620 965280 1013544 1126160 1266930 1351392 1447920 1689240 2027088 2252320 2533860 2895840 3378480 4054176 5067720 6756960 10135440 20270880