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20806656 = 210313521
BaseRepresentation
bin100111101011…
…1110000000000
31110011002100220
41033113300000
520311303111
62021543040
7341565543
oct117276000
943132326
1020806656
1110821392
126b74a80
134406640
142a9885a
151c5ee06
hex13d7c00

20806656 has 88 divisors (see below), whose sum is σ = 59837904. Its totient is φ = 6389760.

The previous prime is 20806637. The next prime is 20806661. The reversal of 20806656 is 65660802.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39676 + ... + 40196.

Almost surely, 220806656 is an apocalyptic number.

20806656 is a gapful number since it is divisible by the number (26) 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 20806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29918952).

20806656 is an abundant number, since it is smaller than the sum of its proper divisors (39031248).

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

20806656 is a wasteful number, since it uses less digits than its factorization.

20806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 20806656 is about 4561.4313543010. The cubic root of 20806656 is about 275.0431050888.

The spelling of 20806656 in words is "twenty million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 521 624 768 832 1024 1042 1248 1536 1563 1664 2084 2496 3072 3126 3328 4168 4992 6252 6656 6773 8336 9984 12504 13312 13546 16672 19968 20319 25008 27092 33344 39936 40638 50016 54184 66688 81276 100032 108368 133376 162552 200064 216736 266752 325104 400128 433472 533504 650208 800256 866944 1300416 1600512 1733888 2600832 3467776 5201664 6935552 10403328 20806656