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20806688 = 257293203
BaseRepresentation
bin100111101011…
…1110000100000
31110011002102002
41033113300200
520311303223
62021543132
7341565620
oct117276040
943132362
1020806688
1110821411
126b74aa8
134406666
142a98880
151c5ee28
hex13d7c20

20806688 has 48 divisors (see below), whose sum is σ = 48444480. Its totient is φ = 8606976.

The previous prime is 20806663. The next prime is 20806693. The reversal of 20806688 is 88660802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 220806688 is an apocalyptic number.

20806688 is a gapful number since it is divisible by the number (28) 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 20806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222240).

20806688 is an abundant number, since it is smaller than the sum of its proper divisors (27637792).

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

20806688 is a wasteful number, since it uses less digits than its factorization.

20806688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 20806688 is about 4561.4348619705. The cubic root of 20806688 is about 275.0432460914.

The spelling of 20806688 in words is "twenty million, eight hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3203 3248 6406 6496 12812 22421 25624 44842 51248 89684 92887 102496 179368 185774 358736 371548 650209 717472 743096 1300418 1486192 2600836 2972384 5201672 10403344 20806688