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20711808 = 273313461
BaseRepresentation
bin100111100000…
…0100110000000
31102222021021000
41033000212000
520300234213
62015532000
7341022165
oct117004600
942867230
1020711808
11107670a7
126b2a000
1343a2410
142a7206c
151c41c73
hex13c0980

20711808 has 128 divisors (see below), whose sum is σ = 65973600. Its totient is φ = 6359040.

The previous prime is 20711807. The next prime is 20711833. The reversal of 20711808 is 80811702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20711807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44698 + ... + 45158.

Almost surely, 220711808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32986800).

20711808 is an abundant number, since it is smaller than the sum of its proper divisors (45261792).

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

20711808 is a wasteful number, since it uses less digits than its factorization.

20711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 20711808 is about 4551.0227421976. The cubic root of 20711808 is about 274.6245366410.

The spelling of 20711808 in words is "twenty million, seven hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 461 468 576 624 702 832 864 922 936 1152 1248 1383 1404 1664 1728 1844 1872 2496 2766 2808 3456 3688 3744 4149 4992 5532 5616 5993 7376 7488 8298 11064 11232 11986 12447 14752 14976 16596 17979 22128 22464 23972 24894 29504 33192 35958 44256 44928 47944 49788 53937 59008 66384 71916 88512 95888 99576 107874 132768 143832 161811 177024 191776 199152 215748 265536 287664 323622 383552 398304 431496 531072 575328 647244 767104 796608 862992 1150656 1294488 1593216 1725984 2301312 2588976 3451968 5177952 6903936 10355904 20711808