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16985984 = 271311013
BaseRepresentation
bin100000011001…
…0111110000000
31011221222101112
41000302332000
513322022414
61404022452
7264243551
oct100627600
934858345
1016985984
119651904
125831a28
1336995a2
142382328
151757d3e
hex1032f80

16985984 has 32 divisors (see below), whose sum is σ = 34131240. Its totient is φ = 8419840.

The previous prime is 16985971. The next prime is 16985993. The reversal of 16985984 is 48958961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16262 + ... + 17274.

Almost surely, 216985984 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 16985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065620).

16985984 is an abundant number, since it is smaller than the sum of its proper divisors (17145256).

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

16985984 is a wasteful number, since it uses less digits than its factorization.

16985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The square root of 16985984 is about 4121.4055854769. The cubic root of 16985984 is about 257.0574747684.

The spelling of 16985984 in words is "sixteen million, nine hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1013 1048 2026 2096 4052 4192 8104 8384 16208 16768 32416 64832 129664 132703 265406 530812 1061624 2123248 4246496 8492992 16985984