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16080480 = 2532513859
BaseRepresentation
bin111101010101…
…111001100000
31010020222021100
4331111321200
513104033410
61332354400
7253452603
oct75257140
933228240
1016080480
119093559
125475a00
1334403a0
1421c833a
1516298c0
hexf55e60

16080480 has 144 divisors (see below), whose sum is σ = 59164560. Its totient is φ = 3953664.

The previous prime is 16080461. The next prime is 16080499. The reversal of 16080480 is 8408061.

It is an interprime number because it is at equal distance from previous prime (16080461) and next prime (16080499).

It is a tau number, because it is divible by the number of its divisors (144).

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, 18291 + ... + 19149.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 216080480 is an apocalyptic number.

16080480 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 16080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582280).

16080480 is an abundant number, since it is smaller than the sum of its proper divisors (43084080).

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

16080480 is a wasteful number, since it uses less digits than its factorization.

16080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

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

The square root of 16080480 is about 4010.0473812662. The cubic root of 16080480 is about 252.4059970965.

The spelling of 16080480 in words is "sixteen million, eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 859 936 1040 1170 1248 1440 1560 1718 1872 2080 2340 2577 3120 3436 3744 4295 4680 5154 6240 6872 7731 8590 9360 10308 11167 12885 13744 15462 17180 18720 20616 22334 25770 27488 30924 33501 34360 38655 41232 44668 51540 55835 61848 67002 68720 77310 82464 89336 100503 103080 111670 123696 134004 137440 154620 167505 178672 201006 206160 223340 247392 268008 309240 335010 357344 402012 412320 446680 502515 536016 618480 670020 804024 893360 1005030 1072032 1236960 1340040 1608048 1786720 2010060 2680080 3216096 4020120 5360160 8040240 16080480