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1128664240 = 2451112710099
BaseRepresentation
bin100001101000110…
…0000110010110000
32220122210002021021
41003101200302300
54302414223430
6303555105224
736653326204
oct10321406260
92818702237
101128664240
1152a113170
12275ba2214
1314caa8982
14a9c80b04
156914907a
hex43460cb0

1128664240 has 80 divisors (see below), whose sum is σ = 2885529600. Its totient is φ = 407151360.

The previous prime is 1128664223. The next prime is 1128664241. The reversal of 1128664240 is 424668211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1128664196 and 1128664205.

It is not an unprimeable number, because it can be changed into a prime (1128664241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106711 + ... + 116809.

It is an arithmetic number, because the mean of its divisors is an integer number (36069120).

Almost surely, 21128664240 is an apocalyptic number.

1128664240 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 1128664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442764800).

1128664240 is an abundant number, since it is smaller than the sum of its proper divisors (1756865360).

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

1128664240 is a wasteful number, since it uses less digits than its factorization.

1128664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1128664240 is about 33595.5985212349. The cubic root of 1128664240 is about 1041.1698620679.

The spelling of 1128664240 in words is "one billion, one hundred twenty-eight million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10099 10160 11176 13970 20198 22352 27940 40396 50495 55880 80792 100990 111089 111760 161584 201980 222178 403960 444356 555445 807920 888712 1110890 1282573 1777424 2221780 2565146 4443560 5130292 6412865 8887120 10260584 12825730 14108303 20521168 25651460 28216606 51302920 56433212 70541515 102605840 112866424 141083030 225732848 282166060 564332120 1128664240