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20525760 = 263257127
BaseRepresentation
bin100111001001…
…1001011000000
31102121211001100
41032103023000
520223311020
62011534400
7336315603
oct116231300
942554040
1020525760
111064a342
126a5a400
134338828
142a2433a
151c06a90
hex13932c0

20525760 has 84 divisors (see below), whose sum is σ = 70609968. Its totient is φ = 5472768.

The previous prime is 20525759. The next prime is 20525761. The reversal of 20525760 is 6752502.

It is an interprime number because it is at equal distance from previous prime (20525759) and next prime (20525761).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20525761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684 + ... + 6443.

Almost surely, 220525760 is an apocalyptic number.

20525760 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 20525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35304984).

20525760 is an abundant number, since it is smaller than the sum of its proper divisors (50084208).

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

20525760 is a wasteful number, since it uses less digits than its factorization.

20525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20525760 is about 4530.5363920843. The cubic root of 20525760 is about 273.7997720222.

The spelling of 20525760 in words is "twenty million, five hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7127 14254 21381 28508 35635 42762 57016 64143 71270 85524 106905 114032 128286 142540 171048 213810 228064 256572 285080 320715 342096 427620 456128 513144 570160 641430 684192 855240 1026288 1140320 1282860 1368384 1710480 2052576 2280640 2565720 3420960 4105152 5131440 6841920 10262880 20525760