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20808576 = 2736223
BaseRepresentation
bin100111101100…
…0001110000000
31110011012000000
41033120032000
520311333301
62022000000
7341604255
oct117301600
943135000
1020808576
1110822878
126b76000
134407489
142a9942c
151c60786
hex13d8380

20808576 has 112 divisors (see below), whose sum is σ = 62432160. Its totient is φ = 6905088.

The previous prime is 20808559. The next prime is 20808587. The reversal of 20808576 is 67580802.

20808576 is a `hidden beast` number, since 2 + 0 + 80 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20808576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93201 + ... + 93423.

It is an arithmetic number, because the mean of its divisors is an integer number (557430).

Almost surely, 220808576 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 20808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216080).

20808576 is an abundant number, since it is smaller than the sum of its proper divisors (41623584).

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

20808576 is an frugal number, since it uses more digits than its factorization.

20808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20808576 is about 4561.6418096997. The cubic root of 20808576 is about 275.0515649861.

The spelling of 20808576 in words is "twenty million, eight hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 223 243 288 324 384 432 446 486 576 648 669 729 864 892 972 1152 1296 1338 1458 1728 1784 1944 2007 2592 2676 2916 3456 3568 3888 4014 5184 5352 5832 6021 7136 7776 8028 10368 10704 11664 12042 14272 15552 16056 18063 21408 23328 24084 28544 31104 32112 36126 42816 46656 48168 54189 64224 72252 85632 93312 96336 108378 128448 144504 162567 192672 216756 256896 289008 325134 385344 433512 578016 650268 770688 867024 1156032 1300536 1734048 2312064 2601072 3468096 5202144 6936192 10404288 20808576