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10730273280 = 29352834937
BaseRepresentation
bin10011111111001001…
…01111101000000000
31000200210220100201220
421333210233220000
5133433422221110
64532430555040
7526622550366
oct117744575000
930623810656
1010730273280
114606a61151
1220b5668a80
13102009903c
1473b13b636
1542c060370
hex27f92fa00

10730273280 has 160 divisors (see below), whose sum is σ = 34431528384. Its totient is φ = 2850717696.

The previous prime is 10730273269. The next prime is 10730273287. The reversal of 10730273280 is 8237203701.

10730273280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10730273287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170972 + ... + 2175908.

Almost surely, 210730273280 is an apocalyptic number.

10730273280 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 10730273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215764192).

10730273280 is an abundant number, since it is smaller than the sum of its proper divisors (23701255104).

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

10730273280 is an equidigital number, since it uses as much as digits as its factorization.

10730273280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 10730273280 its reverse (8237203701), we get a palindrome (18967476981).

The spelling of 10730273280 in words is "ten billion, seven hundred thirty million, two hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 283 320 384 480 512 566 640 768 849 960 1132 1280 1415 1536 1698 1920 2264 2560 2830 3396 3840 4245 4528 4937 5660 6792 7680 8490 9056 9874 11320 13584 14811 16980 18112 19748 22640 24685 27168 29622 33960 36224 39496 45280 49370 54336 59244 67920 72448 74055 78992 90560 98740 108672 118488 135840 144896 148110 157984 181120 197480 217344 236976 271680 296220 315968 362240 394960 434688 473952 543360 592440 631936 724480 789920 947904 1086720 1184880 1263872 1397171 1579840 1895808 2173440 2369760 2527744 2794342 3159680 3791616 4191513 4739520 5588684 6319360 6985855 7583232 8383026 9479040 11177368 12638720 13971710 16766052 18958080 20957565 22354736 27943420 33532104 37916160 41915130 44709472 55886840 67064208 83830260 89418944 111773680 134128416 167660520 178837888 223547360 268256832 335321040 357675776 447094720 536513664 670642080 715351552 894189440 1073027328 1341284160 1788378880 2146054656 2682568320 3576757760 5365136640 10730273280