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75316080 = 24357127353
BaseRepresentation
bin1000111110100…
…11101101110000
312020201110020110
410133103231300
5123240103310
611250141320
71603114260
oct437235560
9166643213
1075316080
11395720a4
1221281840
13127b0438
14a0077a0
15692ad20
hex47d3b70

75316080 has 160 divisors (see below), whose sum is σ = 269697024. Its totient is φ = 17031168.

The previous prime is 75316079. The next prime is 75316093. The reversal of 75316080 is 8061357.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213184 + ... + 213536.

Almost surely, 275316080 is an apocalyptic number.

75316080 is a gapful number since it is divisible by the number (70) 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 75316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134848512).

75316080 is an abundant number, since it is smaller than the sum of its proper divisors (194380944).

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

75316080 is a wasteful number, since it uses less digits than its factorization.

75316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75316080 is about 8678.4837385341. The cubic root of 75316080 is about 422.3079294565.

The spelling of 75316080 in words is "seventy-five million, three hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 127 140 168 210 240 254 280 336 353 381 420 508 560 635 706 762 840 889 1016 1059 1270 1412 1524 1680 1765 1778 1905 2032 2118 2471 2540 2667 2824 3048 3530 3556 3810 4236 4445 4942 5080 5295 5334 5648 6096 7060 7112 7413 7620 8472 8890 9884 10160 10590 10668 12355 13335 14120 14224 14826 15240 16944 17780 19768 21180 21336 24710 26670 28240 29652 30480 35560 37065 39536 42360 42672 44831 49420 53340 59304 71120 74130 84720 89662 98840 106680 118608 134493 148260 179324 197680 213360 224155 268986 296520 313817 358648 448310 537972 593040 627634 672465 717296 896620 941451 1075944 1255268 1344930 1569085 1793240 1882902 2151888 2510536 2689860 3138170 3586480 3765804 4707255 5021072 5379720 6276340 7531608 9414510 10759440 12552680 15063216 18829020 25105360 37658040 75316080