Search a number
-
+
1043220240 = 243253793823
BaseRepresentation
bin111110001011100…
…100011100010000
32200201000002010200
4332023210130100
54114031021430
6251303455200
734565140266
oct7613443420
92621002120
101043220240
11495963897
12251457500
131381906aa
149c79c436
15618bc460
hex3e2e4710

1043220240 has 120 divisors (see below), whose sum is σ = 3513644160. Its totient is φ = 277385472.

The previous prime is 1043220229. The next prime is 1043220247. The reversal of 1043220240 is 420223401.

1043220240 is a `hidden beast` number, since 104 + 322 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1043220247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270969 + ... + 274791.

It is an arithmetic number, because the mean of its divisors is an integer number (29280368).

Almost surely, 21043220240 is an apocalyptic number.

1043220240 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 1043220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756822080).

1043220240 is an abundant number, since it is smaller than the sum of its proper divisors (2470423920).

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

1043220240 is a wasteful number, since it uses less digits than its factorization.

1043220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1043220240 is about 32298.9201057868. The cubic root of 1043220240 is about 1014.2040367628.

Adding to 1043220240 its reverse (420223401), we get a palindrome (1463443641).

The spelling of 1043220240 in words is "one billion, forty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 379 720 758 1137 1516 1895 2274 3032 3411 3790 3823 4548 5685 6064 6822 7580 7646 9096 11370 11469 13644 15160 15292 17055 18192 19115 22740 22938 27288 30320 30584 34110 34407 38230 45480 45876 54576 57345 61168 68220 68814 76460 90960 91752 114690 136440 137628 152920 172035 183504 229380 272880 275256 305840 344070 458760 550512 688140 917520 1376280 1448917 2752560 2897834 4346751 5795668 7244585 8693502 11591336 13040253 14489170 17387004 21733755 23182672 26080506 28978340 34774008 43467510 52161012 57956680 65201265 69548016 86935020 104322024 115913360 130402530 173870040 208644048 260805060 347740080 521610120 1043220240