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268841280 = 26351931451
BaseRepresentation
bin10000000001100…
…011000101000000
3200201212112220110
4100001203011000
51022310410110
642402111320
76443053551
oct2001430500
9621775813
10268841280
11128832484
127604b540
134390b5a6
14279c2328
1518906a20
hex10063140

268841280 has 112 divisors (see below), whose sum is σ = 858585024. Its totient is φ = 71270400.

The previous prime is 268841257. The next prime is 268841299. The reversal of 268841280 is 82148862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184555 + ... + 186005.

Almost surely, 2268841280 is an apocalyptic number.

268841280 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 268841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429292512).

268841280 is an abundant number, since it is smaller than the sum of its proper divisors (589743744).

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

268841280 is a wasteful number, since it uses less digits than its factorization.

268841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 268841280 is about 16396.3800883000. The cubic root of 268841280 is about 645.4044935911.

The spelling of 268841280 in words is "two hundred sixty-eight million, eight hundred forty-one 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 96 120 160 192 193 240 320 386 480 579 772 960 965 1158 1451 1544 1930 2316 2895 2902 3088 3860 4353 4632 5790 5804 6176 7255 7720 8706 9264 11580 11608 12352 14510 15440 17412 18528 21765 23160 23216 29020 30880 34824 37056 43530 46320 46432 58040 61760 69648 87060 92640 92864 116080 139296 174120 185280 232160 278592 280043 348240 464320 560086 696480 840129 1120172 1392960 1400215 1680258 2240344 2800430 3360516 4200645 4480688 5600860 6721032 8401290 8961376 11201720 13442064 16802580 17922752 22403440 26884128 33605160 44806880 53768256 67210320 89613760 134420640 268841280