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1063678240 = 25523299967
BaseRepresentation
bin111111011001100…
…111000100100000
32202010111110020101
4333121213010200
54134300200430
6253314152144
735234054512
oct7731470440
92663443211
101063678240
114a6467229
12258282654
1313c4a4411
14a13a5bb2
15635addca
hex3f667120

1063678240 has 96 divisors (see below), whose sum is σ = 2712890880. Its totient is φ = 392899584.

The previous prime is 1063678223. The next prime is 1063678241. The reversal of 1063678240 is 428763601.

1063678240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10636782402 = 2262822796498995200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063678240.

It is not an unprimeable number, because it can be changed into a prime (1063678241) 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, 101737 + ... + 111703.

It is an arithmetic number, because the mean of its divisors is an integer number (28259280).

Almost surely, 21063678240 is an apocalyptic number.

1063678240 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 1063678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356445440).

1063678240 is an abundant number, since it is smaller than the sum of its proper divisors (1649212640).

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

1063678240 is a wasteful number, since it uses less digits than its factorization.

1063678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1063678240 is about 32614.0803948233. The cubic root of 1063678240 is about 1020.7908258889.

The spelling of 1063678240 in words is "one billion, sixty-three million, six hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 160 184 230 232 290 368 460 464 580 667 736 920 928 1160 1334 1840 2320 2668 3335 3680 4640 5336 6670 9967 10672 13340 19934 21344 26680 39868 49835 53360 79736 99670 106720 159472 199340 229241 289043 318944 398680 458482 578086 797360 916964 1146205 1156172 1445215 1594720 1833928 2292410 2312344 2890430 3667856 4584820 4624688 5780860 6647989 7335712 9169640 9249376 11561720 13295978 18339280 23123440 26591956 33239945 36678560 46246880 53183912 66479890 106367824 132959780 212735648 265919560 531839120 1063678240