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16808000 = 265311191
BaseRepresentation
bin100000000011…
…1100001000000
31011121221020112
41000013201000
513300324000
61400130452
7262602626
oct100074100
934557215
1016808000
119540110
125766a28
133636581
142337516
151720235
hex1007840

16808000 has 112 divisors (see below), whose sum is σ = 45646848. Its totient is φ = 6080000.

The previous prime is 16807997. The next prime is 16808039. The reversal of 16808000 is 80861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87905 + ... + 88095.

Almost surely, 216808000 is an apocalyptic number.

16808000 is a gapful number since it is divisible by the number (10) 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 16808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

16808000 is an abundant number, since it is smaller than the sum of its proper divisors (28838848).

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

16808000 is a wasteful number, since it uses less digits than its factorization.

16808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 16808000 is about 4099.7560903059. The cubic root of 16808000 is about 256.1564798531.

Adding to 16808000 its reverse (80861), we get a palindrome (16888861).

The spelling of 16808000 in words is "sixteen million, eight hundred eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 191 200 220 250 275 320 352 382 400 440 500 550 704 764 800 880 955 1000 1100 1375 1528 1600 1760 1910 2000 2101 2200 2750 3056 3520 3820 4000 4202 4400 4775 5500 6112 7640 8000 8404 8800 9550 10505 11000 12224 15280 16808 17600 19100 21010 22000 23875 30560 33616 38200 42020 44000 47750 52525 61120 67232 76400 84040 88000 95500 105050 134464 152800 168080 191000 210100 262625 305600 336160 382000 420200 525250 672320 764000 840400 1050500 1528000 1680800 2101000 3361600 4202000 8404000 16808000