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275080320 = 2733515919
BaseRepresentation
bin10000011001010…
…110010010000000
3201011121112021000
4100121112102000
51030410032240
643143532000
76550100304
oct2031262200
9634545230
10275080320
11131303a09
127815a000
1344cb4328
1428767d04
151923a430
hex10656480

275080320 has 128 divisors (see below), whose sum is σ = 974304000. Its totient is φ = 73350144.

The previous prime is 275080313. The next prime is 275080321. The reversal of 275080320 is 23080572.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (275080321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9321 + ... + 25239.

It is an arithmetic number, because the mean of its divisors is an integer number (7611750).

Almost surely, 2275080320 is an apocalyptic number.

275080320 is a gapful number since it is divisible by the number (20) 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 275080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487152000).

275080320 is an abundant number, since it is smaller than the sum of its proper divisors (699223680).

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

275080320 is a wasteful number, since it uses less digits than its factorization.

275080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15929 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 275080320 is about 16585.5455140915. The cubic root of 275080320 is about 650.3590284780.

The spelling of 275080320 in words is "two hundred seventy-five million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 15919 17280 31838 47757 63676 79595 95514 127352 143271 159190 191028 238785 254704 286542 318380 382056 429813 477570 509408 573084 636760 716355 764112 859626 955140 1018816 1146168 1273520 1432710 1528224 1719252 1910280 2037632 2149065 2292336 2547040 2865420 3056448 3438504 3820560 4298130 4584672 5094080 5730840 6112896 6877008 7641120 8596260 9169344 10188160 11461680 13754016 15282240 17192520 18338688 22923360 27508032 30564480 34385040 45846720 55016064 68770080 91693440 137540160 275080320