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1130443440 = 24357672883
BaseRepresentation
bin100001101100001…
…0011001010110000
32220210010110212120
41003120103022300
54303343142230
6304101154240
740004416320
oct10330231260
92823113776
101130443440
11530118985
122766bb980
1315027c759
14aa1c5280
156939b310
hex436132b0

1130443440 has 80 divisors (see below), whose sum is σ = 4005005568. Its totient is φ = 258386688.

The previous prime is 1130443439. The next prime is 1130443451. The reversal of 1130443440 is 443440311.

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

It is a super-3 number, since 3×11304434403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130443440.

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, 334762 + ... + 338121.

Almost surely, 21130443440 is an apocalyptic number.

1130443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130443440 is an abundant number, since it is smaller than the sum of its proper divisors (2874562128).

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

1130443440 is a wasteful number, since it uses less digits than its factorization.

1130443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672906 (or 672900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1130443440 is about 33622.0677531885. The cubic root of 1130443440 is about 1041.7166668124.

Adding to 1130443440 its reverse (443440311), we get a palindrome (1573883751).

The spelling of 1130443440 in words is "one billion, one hundred thirty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 672883 1345766 2018649 2691532 3364415 4037298 4710181 5383064 6728830 8074596 9420362 10093245 10766128 13457660 14130543 16149192 18840724 20186490 23550905 26915320 28261086 32298384 37681448 40372980 47101810 53830640 56522172 70652715 75362896 80745960 94203620 113044344 141305430 161491920 188407240 226088688 282610860 376814480 565221720 1130443440