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1140340410 = 2335111971949
BaseRepresentation
bin100001111111000…
…0011011010111010
32221110202021222000
41003332003122322
54313411343120
6305053241430
740154506416
oct10376033272
92843667860
101140340410
115357686a0
12279a93276
13152336451
14ab63dd46
156a1a3990
hex43f836ba

1140340410 has 128 divisors (see below), whose sum is σ = 3335904000. Its totient is φ = 274901760.

The previous prime is 1140340381. The next prime is 1140340417. The reversal of 1140340410 is 140430411.

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 (1140340417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584116 + ... + 586064.

It is an arithmetic number, because the mean of its divisors is an integer number (26061750).

Almost surely, 21140340410 is an apocalyptic number.

1140340410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140340410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667952000).

1140340410 is an abundant number, since it is smaller than the sum of its proper divisors (2195563590).

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

1140340410 is a wasteful number, since it uses less digits than its factorization.

1140340410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140340410 is about 33768.9266930413. The cubic root of 1140340410 is about 1044.7478951994.

Adding to 1140340410 its reverse (140430411), we get a palindrome (1280770821).

Subtracting from 1140340410 its reverse (140430411), we obtain a palindrome (999909999).

The spelling of 1140340410 in words is "one billion, one hundred forty million, three hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 197 198 270 297 330 394 495 591 594 985 990 1182 1485 1773 1949 1970 2167 2955 2970 3546 3898 4334 5319 5847 5910 6501 8865 9745 10638 10835 11694 13002 17541 17730 19490 19503 21439 21670 26595 29235 32505 35082 39006 42878 52623 53190 58470 58509 64317 65010 87705 97515 105246 107195 117018 128634 175410 192951 195030 214390 263115 292545 321585 383953 385902 526230 578853 585090 643170 767906 964755 1151859 1157706 1919765 1929510 2303718 2894265 3455577 3839530 4223483 5759295 5788530 6911154 8446966 10366731 11518590 12670449 17277885 20733462 21117415 25340898 34555770 38011347 42234830 51833655 63352245 76022694 103667310 114034041 126704490 190056735 228068082 380113470 570170205 1140340410