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16084080 = 2432589251
BaseRepresentation
bin111101010110…
…110001110000
31010021011012200
4331112301300
513104142310
61332423200
7253466235
oct75266160
933234180
1016084080
119096231
125477b00
133441c0c
1421c978c
15162a9c0
hexf56c70

16084080 has 120 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 4224000.

The previous prime is 16084073. The next prime is 16084093. The reversal of 16084080 is 8048061.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63955 + ... + 64205.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 216084080 is an apocalyptic number.

16084080 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 16084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

16084080 is an abundant number, since it is smaller than the sum of its proper divisors (38756160).

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

16084080 is a wasteful number, since it uses less digits than its factorization.

16084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16084080 is about 4010.4962286480. The cubic root of 16084080 is about 252.4248313972.

The spelling of 16084080 in words is "sixteen million, eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 251 267 356 360 445 502 534 712 720 753 801 890 1004 1068 1255 1335 1424 1506 1602 1780 2008 2136 2259 2510 2670 3012 3204 3560 3765 4005 4016 4272 4518 5020 5340 6024 6408 7120 7530 8010 9036 10040 10680 11295 12048 12816 15060 16020 18072 20080 21360 22339 22590 30120 32040 36144 44678 45180 60240 64080 67017 89356 90360 111695 134034 178712 180720 201051 223390 268068 335085 357424 402102 446780 536136 670170 804204 893560 1005255 1072272 1340340 1608408 1787120 2010510 2680680 3216816 4021020 5361360 8042040 16084080