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2143439360 = 2951575333
BaseRepresentation
bin111111111000010…
…0100101000000000
312112101021000000222
41333300210220000
513342210024420
6552405202212
7104054635226
oct17760445000
95471230028
102143439360
119aaa08797
124b9a00368
132820ba01a
14164956b16
15c8298225
hex7fc24a00

2143439360 has 80 divisors (see below), whose sum is σ = 5172934536. Its totient is φ = 851755008.

The previous prime is 2143439357. The next prime is 2143439399. The reversal of 2143439360 is 639343412.

It can be written as a sum of positive squares in 4 ways, for example, as 2054627584 + 88811776 = 45328^2 + 9424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2143439360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399254 + ... + 404586.

Almost surely, 22143439360 is an apocalyptic number.

2143439360 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 2143439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586467268).

2143439360 is an abundant number, since it is smaller than the sum of its proper divisors (3029495176).

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

2143439360 is an equidigital number, since it uses as much as digits as its factorization.

2143439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 2143439360 is about 46297.2932254144. The cubic root of 2143439360 is about 1289.3487408329.

The spelling of 2143439360 in words is "two billion, one hundred forty-three million, four hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1256 1280 1570 2512 2560 3140 5024 5333 6280 10048 10666 12560 20096 21332 25120 26665 40192 42664 50240 53330 80384 85328 100480 106660 170656 200960 213320 341312 401920 426640 682624 837281 853280 1365248 1674562 1706560 2730496 3349124 3413120 4186405 6698248 6826240 8372810 13396496 13652480 16745620 26792992 33491240 53585984 66982480 107171968 133964960 214343936 267929920 428687872 535859840 1071719680 2143439360