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16990560 = 253551923
BaseRepresentation
bin100000011010…
…0000101100000
31011222012200000
41000310011200
513322144220
61404100000
7264263106
oct100640540
934865600
1016990560
119655294
125834600
13369b6b2
142383c76
151759390
hex1034160

16990560 has 288 divisors, whose sum is σ = 66044160. Its totient is φ = 4105728.

The previous prime is 16990559. The next prime is 16990577. The reversal of 16990560 is 6509961.

16990560 is a `hidden beast` number, since 1 + 6 + 9 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×169905602 = 577358258227200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 738709 + ... + 738731.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 216990560 is an apocalyptic number.

16990560 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 16990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

16990560 is an abundant number, since it is smaller than the sum of its proper divisors (49053600).

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

16990560 is a wasteful number, since it uses less digits than its factorization.

16990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 16990560 is about 4121.9606985026. The cubic root of 16990560 is about 257.0805563355.

The spelling of 16990560 in words is "sixteen million, nine hundred ninety thousand, five hundred sixty".