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16120080 = 2433517439
BaseRepresentation
bin111101011111…
…100100010000
31010022222121000
4331133210100
513111320310
61333302000
7254006214
oct75374420
933288530
1016120080
119110289
125494900
133455412
1421d8944
1516364c0
hexf5f910

16120080 has 160 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 4036608.

The previous prime is 16120073. The next prime is 16120129. The reversal of 16120080 is 8002161.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 36501 + ... + 36939.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 216120080 is an apocalyptic number.

16120080 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 16120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

16120080 is an abundant number, since it is smaller than the sum of its proper divisors (42804720).

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

16120080 is a wasteful number, since it uses less digits than its factorization.

16120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 16120080 is about 4014.9819426742. The cubic root of 16120080 is about 252.6130200182.

The spelling of 16120080 in words is "sixteen million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 439 459 510 540 612 680 720 765 816 878 918 1020 1080 1224 1317 1360 1530 1756 1836 2040 2160 2195 2295 2448 2634 3060 3512 3672 3951 4080 4390 4590 5268 6120 6585 7024 7344 7463 7902 8780 9180 10536 11853 12240 13170 14926 15804 17560 18360 19755 21072 22389 23706 26340 29852 31608 35120 36720 37315 39510 44778 47412 52680 59265 59704 63216 67167 74630 79020 89556 94824 105360 111945 118530 119408 134334 149260 158040 179112 189648 201501 223890 237060 268668 298520 316080 335835 358224 403002 447780 474120 537336 597040 671670 806004 895560 948240 1007505 1074672 1343340 1612008 1791120 2015010 2686680 3224016 4030020 5373360 8060040 16120080