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140003640 = 2334576173
BaseRepresentation
bin10000101100001…
…00100100111000
3100202102220220000
420112010210320
5241320104030
621520433000
73320003610
oct1026044470
9322386800
10140003640
1172034897
123aa78760
132300bbba
1414845a40
15c457860
hex8584938

140003640 has 160 divisors (see below), whose sum is σ = 537878880. Its totient is φ = 31995648.

The previous prime is 140003629. The next prime is 140003659. The reversal of 140003640 is 46300041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19594 + ... + 25766.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 2140003640 is an apocalyptic number.

140003640 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 140003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268939440).

140003640 is an abundant number, since it is smaller than the sum of its proper divisors (397875240).

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

140003640 is a wasteful number, since it uses less digits than its factorization.

140003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 140003640 is about 11832.3133832738. The cubic root of 140003640 is about 519.2539103077.

Adding to 140003640 its reverse (46300041), we get a palindrome (186303681).

The spelling of 140003640 in words is "one hundred forty million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 6173 7560 11340 12346 18519 22680 24692 30865 37038 43211 49384 55557 61730 74076 86422 92595 111114 123460 129633 148152 166671 172844 185190 216055 222228 246920 259266 277785 333342 345688 370380 388899 432110 444456 500013 518532 555570 648165 666684 740760 777798 833355 864220 1000026 1037064 1111140 1166697 1296330 1333368 1555596 1666710 1728440 1944495 2000052 2222280 2333394 2500065 2592660 3111192 3333420 3500091 3888990 4000104 4666788 5000130 5185320 5833485 6666840 7000182 7777980 9333576 10000260 11666970 14000364 15555960 17500455 20000520 23333940 28000728 35000910 46667880 70001820 140003640