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20568000 = 26353857
BaseRepresentation
bin100111001110…
…1011111000000
31102200221222210
41032131133000
520231134000
62012502120
7336553005
oct116353700
942627883
1020568000
1110679052
126a7a940
134351b1b
142a358ac
151c14350
hex139d7c0

20568000 has 112 divisors (see below), whose sum is σ = 67994784. Its totient is φ = 5478400.

The previous prime is 20567983. The next prime is 20568001. The reversal of 20568000 is 86502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20568001) 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 15 ways as a sum of consecutive naturals, for example, 23572 + ... + 24428.

Almost surely, 220568000 is an apocalyptic number.

20568000 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 20568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997392).

20568000 is an abundant number, since it is smaller than the sum of its proper divisors (47426784).

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

20568000 is an equidigital number, since it uses as much as digits as its factorization.

20568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20568000 is about 4535.1956958879. The cubic root of 20568000 is about 273.9874610207.

The spelling of 20568000 in words is "twenty million, five hundred sixty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 857 960 1000 1200 1500 1600 1714 2000 2400 2571 3000 3428 4000 4285 4800 5142 6000 6856 8000 8570 10284 12000 12855 13712 17140 20568 21425 24000 25710 27424 34280 41136 42850 51420 54848 64275 68560 82272 85700 102840 107125 128550 137120 164544 171400 205680 214250 257100 274240 321375 342800 411360 428500 514200 642750 685600 822720 857000 1028400 1285500 1371200 1714000 2056800 2571000 3428000 4113600 5142000 6856000 10284000 20568000