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2035143040 = 27572319751
BaseRepresentation
bin111100101001101…
…1101000110000000
312020211110222102011
41321103131012000
513131444034130
6533540102304
7101301300430
oct17123350600
95224428364
102035143040
119548700a7
12489694994
13265830268
141544062c0
15bda0552a
hex794dd180

2035143040 has 128 divisors (see below), whose sum is σ = 5802347520. Its totient is φ = 667392000.

The previous prime is 2035142999. The next prime is 2035143053. The reversal of 2035143040 is 403415302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 93165 + ... + 112915.

It is an arithmetic number, because the mean of its divisors is an integer number (45330840).

Almost surely, 22035143040 is an apocalyptic number.

2035143040 is a gapful number since it is divisible by the number (20) 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 2035143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901173760).

2035143040 is an abundant number, since it is smaller than the sum of its proper divisors (3767204480).

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

2035143040 is a wasteful number, since it uses less digits than its factorization.

2035143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19800 (or 19788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2035143040 is about 45112.5596702293. The cubic root of 2035143040 is about 1267.2578194803.

Adding to 2035143040 its reverse (403415302), we get a palindrome (2438558342).

The spelling of 2035143040 in words is "two billion, thirty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 19751 20608 25760 39502 51520 79004 98755 103040 138257 158008 197510 276514 316016 395020 454273 553028 632032 691285 790040 908546 1106056 1264064 1382570 1580080 1817092 2212112 2271365 2528128 2765140 3160160 3179911 3634184 4424224 4542730 5530280 6320320 6359822 7268368 8848448 9085460 11060560 12640640 12719644 14536736 15899555 17696896 18170920 22121120 25439288 29073472 31799110 36341840 44242240 50878576 58146944 63598220 72683680 88484480 101757152 127196440 145367360 203514304 254392880 290734720 407028608 508785760 1017571520 2035143040