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20708064 = 2532135531
BaseRepresentation
bin100111011111…
…1101011100000
31102222002010100
41032333223200
520300124224
62015502400
7341005236
oct116775340
942862110
1020708064
1110764303
126b27a00
1343a07c0
142a70956
151c40ac9
hex13bfae0

20708064 has 72 divisors (see below), whose sum is σ = 63429912. Its totient is φ = 6370560.

The previous prime is 20708021. The next prime is 20708099. The reversal of 20708064 is 46080702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (880971).

Almost surely, 220708064 is an apocalyptic number.

20708064 is a gapful number since it is divisible by the number (24) 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 20708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31714956).

20708064 is an abundant number, since it is smaller than the sum of its proper divisors (42721848).

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

20708064 is a wasteful number, since it uses less digits than its factorization.

20708064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20708064 is about 4550.6113874951. The cubic root of 20708064 is about 274.6079880096.

Adding to 20708064 its reverse (46080702), we get a palindrome (66788766).

The spelling of 20708064 in words is "twenty million, seven hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5531 11062 16593 22124 33186 44248 49779 66372 71903 88496 99558 132744 143806 176992 199116 215709 265488 287612 398232 431418 530976 575224 647127 796464 862836 1150448 1294254 1592928 1725672 2300896 2588508 3451344 5177016 6902688 10354032 20708064