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16808064 = 273713237
BaseRepresentation
bin100000000011…
…1100010000000
31011121221022220
41000013202000
513300324224
61400131040
7262603050
oct100074200
934557286
1016808064
119540169
125766a80
133636600
142337560
151720279
hex1007880

16808064 has 192 divisors, whose sum is σ = 56744640. Its totient is φ = 4313088.

The previous prime is 16808059. The next prime is 16808111. The reversal of 16808064 is 46080861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×168080642 = 565022030856192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454254 + ... + 454290.

It is an arithmetic number, because the mean of its divisors is an integer number (295545).

Almost surely, 216808064 is an apocalyptic number.

16808064 is a gapful number since it is divisible by the number (14) 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 16808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28372320).

16808064 is an abundant number, since it is smaller than the sum of its proper divisors (39936576).

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

16808064 is a wasteful number, since it uses less digits than its factorization.

16808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

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

The square root of 16808064 is about 4099.7638956408. The cubic root of 16808064 is about 256.1568049760.

The spelling of 16808064 in words is "sixteen million, eight hundred eight thousand, sixty-four".