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2143971840 = 29351072609
BaseRepresentation
bin111111111001010…
…0110101000000000
312112102021001110110
41333302212220000
513342324044330
6552424431320
7104062313523
oct17762465000
95472231413
102143971840
11a0024185a
124ba018540
132822454ba
14164a54bba
15c8350db0
hex7fca6a00

2143971840 has 160 divisors (see below), whose sum is σ = 6920717760. Its totient is φ = 566165504.

The previous prime is 2143971719. The next prime is 2143971853. The reversal of 2143971840 is 481793412.

It is a tau number, because it is divible by the number of its divisors (160).

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, 820456 + ... + 823064.

It is an arithmetic number, because the mean of its divisors is an integer number (43254486).

Almost surely, 22143971840 is an apocalyptic number.

2143971840 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 2143971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460358880).

2143971840 is an abundant number, since it is smaller than the sum of its proper divisors (4776745920).

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

2143971840 is a wasteful number, since it uses less digits than its factorization.

2143971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2143971840 is about 46303.0435284766. The cubic root of 2143971840 is about 1289.4555000266.

The spelling of 2143971840 in words is "two billion, one hundred forty-three million, nine hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 256 320 321 384 428 480 512 535 640 642 768 856 960 1070 1280 1284 1536 1605 1712 1920 2140 2560 2568 2609 3210 3424 3840 4280 5136 5218 6420 6848 7680 7827 8560 10272 10436 12840 13045 13696 15654 17120 20544 20872 25680 26090 27392 31308 34240 39135 41088 41744 51360 52180 54784 62616 68480 78270 82176 83488 102720 104360 125232 136960 156540 164352 166976 205440 208720 250464 273920 279163 313080 333952 410880 417440 500928 558326 626160 667904 821760 834880 837489 1001856 1116652 1252320 1335808 1395815 1669760 1674978 2003712 2233304 2504640 2791630 3339520 3349956 4007424 4187445 4466608 5009280 5583260 6679040 6699912 8374890 8933216 10018560 11166520 13399824 16749780 17866432 20037120 22333040 26799648 33499560 35732864 44666080 53599296 66999120 71465728 89332160 107198592 133998240 142931456 178664320 214397184 267996480 357328640 428794368 535992960 714657280 1071985920 2143971840