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16806480 = 2435239293
BaseRepresentation
bin100000000011…
…1001001010000
31011121212011020
41000013021100
513300301410
61400115440
7262565325
oct100071120
934555136
1016806480
119539a59
125765b80
133635982
142336b4c
15171ea70
hex1007250

16806480 has 80 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 4447744.

The previous prime is 16806479. The next prime is 16806497. The reversal of 16806480 is 8460861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57214 + ... + 57506.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 216806480 is an apocalyptic number.

16806480 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 16806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

16806480 is an abundant number, since it is smaller than the sum of its proper divisors (35690160).

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

16806480 is a wasteful number, since it uses less digits than its factorization.

16806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16806480 is about 4099.5707092329. The cubic root of 16806480 is about 256.1487579432.

The spelling of 16806480 in words is "sixteen million, eight hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 293 478 586 717 879 956 1172 1195 1434 1465 1758 1912 2344 2390 2868 2930 3516 3585 3824 4395 4688 4780 5736 5860 7032 7170 8790 9560 11472 11720 14064 14340 17580 19120 23440 28680 35160 57360 70027 70320 140054 210081 280108 350135 420162 560216 700270 840324 1050405 1120432 1400540 1680648 2100810 2801080 3361296 4201620 5602160 8403240 16806480