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270385280 = 27511193199
BaseRepresentation
bin10000000111011…
…100000010000000
3200211202222212122
4100013130002000
51023204312110
642455143412
76462144164
oct2007340200
9624688778
10270385280
11129697510
1276674b68
134402c2b9
1427ca4ca4
1518b0e255
hex101dc080

270385280 has 128 divisors (see below), whose sum is σ = 712368000. Its totient is φ = 97320960.

The previous prime is 270385273. The next prime is 270385301. The reversal of 270385280 is 82583072.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270385280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358621 + ... + 1358819.

It is an arithmetic number, because the mean of its divisors is an integer number (5565375).

Almost surely, 2270385280 is an apocalyptic number.

270385280 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 270385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356184000).

270385280 is an abundant number, since it is smaller than the sum of its proper divisors (441982720).

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

270385280 is a wasteful number, since it uses less digits than its factorization.

270385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 270385280 is about 16443.3962428691. The cubic root of 270385280 is about 646.6376907459.

The spelling of 270385280 in words is "two hundred seventy million, three hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 193 199 220 320 352 386 398 440 640 704 772 796 880 965 995 1408 1544 1592 1760 1930 1990 2123 2189 3088 3184 3520 3860 3980 4246 4378 6176 6368 7040 7720 7960 8492 8756 10615 10945 12352 12736 15440 15920 16984 17512 21230 21890 24704 25472 30880 31840 33968 35024 38407 42460 43780 61760 63680 67936 70048 76814 84920 87560 123520 127360 135872 140096 153628 169840 175120 192035 271744 280192 307256 339680 350240 384070 422477 614512 679360 700480 768140 844954 1229024 1358720 1400960 1536280 1689908 2112385 2458048 3072560 3379816 4224770 4916096 6145120 6759632 8449540 12290240 13519264 16899080 24580480 27038528 33798160 54077056 67596320 135192640 270385280